American Institute of Mathematical Sciences

Advanced

ISSN:
 1937-1632

eISSN:
 1937-1179

Journal Home

All Issues

Volume 13, 2020

Volume 12, 2019

Volume 11, 2018

Volume 10, 2017

Volume 9, 2016

Volume 8, 2015

Volume 7, 2014

Volume 6, 2013

Volume 5, 2012

Volume 4, 2011

Volume 3, 2010

Volume 2, 2009

Volume 1, 2008

Series S of Discrete and Continuous Dynamical Systems only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

Select all articles

Export/Reference:

Special issue dedicated to SFBT 2017
Alain Miranville
2020, 13(8) : i-i doi: 10.3934/dcdss.2020179 +[Abstract](266) +[HTML](97) +[PDF](67.56KB)
Prey-predator model with nonlocal and global consumption in the prey dynamics
Malay Banerjee, Nayana Mukherjee and Vitaly Volpert
2020, 13(8) : 2109-2120 doi: 10.3934/dcdss.2020180 +[Abstract](646) +[HTML](260) +[PDF](790.92KB)
From conservative to dissipative non-linear differential systems. An application to the cardio-respiratory regulation
Jacques Demongeot, Dan Istrate, Hajer Khlaifi, Lucile Mégret, Carla Taramasco and René Thomas
2020, 13(8) : 2121-2134 doi: 10.3934/dcdss.2020181 +[Abstract](611) +[HTML](288) +[PDF](1597.75KB)
The stability analysis of brain lactate kinetics
Jean-Pierre Françoise and Hongjun Ji
2020, 13(8) : 2135-2143 doi: 10.3934/dcdss.2020182 +[Abstract](397) +[HTML](222) +[PDF](321.84KB)
Gevrey solutions of singularly perturbed differential equations, an extension to the non-autonomous case
Lucile Mégret and Jacques Demongeot
2020, 13(8) : 2145-2163 doi: 10.3934/dcdss.2020183 +[Abstract](488) +[HTML](245) +[PDF](380.91KB)
What mathematical models can or cannot do in glioma description and understanding
Angélique Perrillat-Mercerot, Alain Miranville, Nicolas Bourmeyster, Carole Guillevin, Mathieu Naudin and Rémy Guillevin
2020, 13(8) : 2165-2193 doi: 10.3934/dcdss.2020184 +[Abstract](466) +[HTML](371) +[PDF](2928.67KB)
Paradoxes of vulnerability to predation in biological dynamics and mediate versus immediate causality
Evariste Sanchez-Palencia and Philippe Lherminier
2020, 13(8) : 2195-2209 doi: 10.3934/dcdss.2020185 +[Abstract](375) +[HTML](235) +[PDF](532.15KB)
Global-in-time Gevrey regularity solutions for the functionalized Cahn-Hilliard equation
Kelong Cheng, Cheng Wang, Steven M. Wise and Zixia Yuan
2020, 13(8) : 2211-2229 doi: 10.3934/dcdss.2020186 +[Abstract](474) +[HTML](352) +[PDF](377.68KB)
Modified bidomain model with passive periodic heterogeneities
Yves Coudière, Anđela Davidović and Clair Poignard
2020, 13(8) : 2231-2258 doi: 10.3934/dcdss.2020126 +[Abstract](558) +[HTML](323) +[PDF](879.63KB)
Fractional Cauchy problems and applications
Mohammed AL Horani, Mauro Fabrizio, Angelo Favini and Hiroki Tanabe
2020, 13(8) : 2259-2270 doi: 10.3934/dcdss.2020187 +[Abstract](422) +[HTML](222) +[PDF](354.85KB)
Well-posedness of a one-dimensional nonlinear kinematic hardening model
David Melching and Ulisse Stefanelli
2020, 13(8) : 2271-2284 doi: 10.3934/dcdss.2020188 +[Abstract](422) +[HTML](267) +[PDF](313.37KB)
Polarization dynamics in a resonant optical medium with initial coherence between degenerate states
Katherine A. Newhall, Gregor Kovačič and Ildar Gabitov
2020, 13(8) : 2285-2301 doi: 10.3934/dcdss.2020189 +[Abstract](377) +[HTML](226) +[PDF](594.54KB)
Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems
Yejuan Wang and Tomás Caraballo
2020, 13(8) : 2303-2326 doi: 10.3934/dcdss.2020092 +[Abstract](842) +[HTML](431) +[PDF](388.85KB)
Explicit investment setting in a Kaldor macroeconomic model with macro shock
Zhenzhen Wang, Zhenghui Li, Shuanglian Chen and Zhehao Huang
2020, 13(8) : 2327-2346 doi: 10.3934/dcdss.2020093 +[Abstract](789) +[HTML](481) +[PDF](766.45KB)
Fractional Ostrowski-Sugeno Fuzzy univariate inequalities
George A. Anastassiou
2019doi: 10.3934/dcdss.2020111 +[Abstract](380) +[HTML](227) +[PDF](268.45KB)
A Zaremba-type criterion for hypoelliptic degenerate Ornstein–Uhlenbeck operators
Alessia E. Kogoj
2019doi: 10.3934/dcdss.2020112 +[Abstract](368) +[HTML](238) +[PDF](238.58KB)
Bifurcations and exact traveling wave solutions for the nonlinear Schrödinger equation with fourth-order dispersion and dual power law nonlinearity
Jibin Li and Yan Zhou
2019doi: 10.3934/dcdss.2020113 +[Abstract](507) +[HTML](308) +[PDF](1268.63KB)
Existence of generalized homoclinic solutions for a modified Swift-Hohenberg equation
Yixia Shi and Maoan Han
2019doi: 10.3934/dcdss.2020114 +[Abstract](491) +[HTML](253) +[PDF](364.31KB)
Bogdanov-Takens bifurcation in a SIRS epidemic model with a generalized nonmonotone incidence rate
Min Lu, Chuang Xiang and Jicai Huang
2019doi: 10.3934/dcdss.2020115 +[Abstract](419) +[HTML](256) +[PDF](663.07KB)
Global analysis of SIRI knowledge dissemination model with recalling rate
Fang Liu, Zhen Jin and Cai-Yun Wang
2019doi: 10.3934/dcdss.2020116 +[Abstract](414) +[HTML](233) +[PDF](2958.71KB)
Dynamical stabilization and traveling waves in integrodifference equations
Adèle Bourgeois, Victor LeBlanc and Frithjof Lutscher
2019doi: 10.3934/dcdss.2020117 +[Abstract](443) +[HTML](258) +[PDF](1235.66KB)
Global bifurcation of solutions of the mean curvature spacelike equation in certain standard static spacetimes
Guowei Dai, Alfonso Romero and Pedro J. Torres
2019doi: 10.3934/dcdss.2020118 +[Abstract](423) +[HTML](225) +[PDF](453.16KB)
Minimum energy compensation for discrete delayed systems with disturbances
Salma Souhaile and Larbi Afifi
2019doi: 10.3934/dcdss.2020119 +[Abstract](392) +[HTML](232) +[PDF](392.32KB)
A fractional-order delay differential model with optimal control for cancer treatment based on synergy between anti-angiogenic and immune cell therapies
Nasser Sweilam, Fathalla Rihan and Seham AL-Mekhlafi
2019doi: 10.3934/dcdss.2020120 +[Abstract](582) +[HTML](323) +[PDF](633.8KB)
First integrals of Hamiltonian systems: The inverse problem
Rehana Naz, Fazal M Mahomed and Azam Chaudhry
2019doi: 10.3934/dcdss.2020121 +[Abstract](435) +[HTML](234) +[PDF](275.3KB)
Exact solutions of a Black-Scholes model with time-dependent parameters by utilizing potential symmetries
Rehana Naz and Imran Naeem
2019doi: 10.3934/dcdss.2020122 +[Abstract](442) +[HTML](234) +[PDF](289.93KB)
Wave-propagation in an incompressible hollow elastic cylinder with residual stress
Moniba Shams
2019doi: 10.3934/dcdss.2020123 +[Abstract](466) +[HTML](226) +[PDF](497.24KB)
Infinitely many radial solutions for a super-cubic Kirchhoff type problem in a ball
Alfonso Castro and Shu-Zhi Song
2019doi: 10.3934/dcdss.2020127 +[Abstract](381) +[HTML](208) +[PDF](321.35KB)
Operators of order 2$ n $ with interior degeneracy
Genni Fragnelli, Jerome A. Goldstein, Rosa Maria Mininni and Silvia Romanelli
2019doi: 10.3934/dcdss.2020128 +[Abstract](388) +[HTML](213) +[PDF](321.59KB)
Point to point traveling wave and periodic traveling wave induced by Hopf bifurcation for a diffusive predator-prey system
Hongyong Zhao and Daiyong Wu
2019doi: 10.3934/dcdss.2020129 +[Abstract](460) +[HTML](215) +[PDF](301.58KB)
Bogdanov-Takens bifurcation in predator-prey systems
Bing Zeng, Shengfu Deng and Pei Yu
2019doi: 10.3934/dcdss.2020130 +[Abstract](648) +[HTML](236) +[PDF](326.42KB)
Stability analysis of an equation with two delays and application to the production of platelets
Loïs Boullu, Laurent Pujo-Menjouet and Jacques Bélair
2019doi: 10.3934/dcdss.2020131 +[Abstract](466) +[HTML](250) +[PDF](1052.73KB)
Spatiotemporal dynamics of a diffusive predator-prey model with generalist predator
Dingyong Bai, Jianshe Yu and Yun Kang
2019doi: 10.3934/dcdss.2020132 +[Abstract](514) +[HTML](240) +[PDF](1193.14KB)
Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory
Shanshan Liu and Maoan Han
2019doi: 10.3934/dcdss.2020133 +[Abstract](401) +[HTML](247) +[PDF](311.59KB)
Dirichlet problem for a diffusive logistic population model with two delays
Xuejun Pan, Hongying Shu and Yuming Chen
2019doi: 10.3934/dcdss.2020134 +[Abstract](365) +[HTML](227) +[PDF](458.67KB)
Bifurcation and stability analysis for a nutrient-phytoplankton model with toxic effects
Juping Ji and Lin Wang
2019doi: 10.3934/dcdss.2020135 +[Abstract](364) +[HTML](222) +[PDF](752.7KB)
Oscillation criteria for second-order quasi-linear neutral functional differential equation
Osama Moaaz and Omar Bazighifan
2019doi: 10.3934/dcdss.2020136 +[Abstract](470) +[HTML](300) +[PDF](259.52KB)
Hopf bifurcation of a fractional-order octonion-valued neural networks with time delays
Udhayakumar Kandasamy and Rakkiyappan Rajan
2019doi: 10.3934/dcdss.2020137 +[Abstract](440) +[HTML](219) +[PDF](1775.59KB)
Controllability analysis of nonlinear fractional order differential systems with state delay and non-instantaneous impulsive effects
Baskar Sundaravadivoo
2019doi: 10.3934/dcdss.2020138 +[Abstract](440) +[HTML](329) +[PDF](329.09KB)
Green function's properties and existence theorems for nonlinear singular-delay-fractional differential equations
Hasib Khan, Cemil Tunc and Aziz Khan
2019doi: 10.3934/dcdss.2020139 +[Abstract](520) +[HTML](267) +[PDF](388.69KB)
Dynamics of a model of tumor-immune interaction with time delay and noise
Lifeng Han, Changhan He and Yang Kuang
2019doi: 10.3934/dcdss.2020140 +[Abstract](599) +[HTML](240) +[PDF](732.29KB)
Nonlinear effects in the dynamics of HIV-1 infection predicted by mathematical model with multiple delays
Nikolay Pertsev, Konstantin Loginov and Gennady Bocharov
2019doi: 10.3934/dcdss.2020141 +[Abstract](427) +[HTML](251) +[PDF](534.9KB)
Heat transfer and entropy analysis of Maxwell hybrid nanofluid including effects of inclined magnetic field, Joule heating and thermal radiation
Asim Aziz, Wasim Jamshed, Yasir Ali and Moniba Shams
2019doi: 10.3934/dcdss.2020142 +[Abstract](713) +[HTML](305) +[PDF](1471.91KB)
Mathematical model of diabetes and its complication involving fractional operator without singular kernal
Ravi Shanker Dubey and Pranay Goswami
2019doi: 10.3934/dcdss.2020144 +[Abstract](555) +[HTML](333) +[PDF](558.45KB)
Global solutions of continuous coagulation–fragmentation equations with unbounded coefficients
Jacek Banasiak
2019doi: 10.3934/dcdss.2020161 +[Abstract](314) +[HTML](198) +[PDF](290.54KB)
Bifurcations in a pollination-mutualism system with nectarless flowers
Hong Wu, Shan Sun and Yuanshi Wang
2019doi: 10.3934/dcdss.2020162 +[Abstract](385) +[HTML](232) +[PDF](340.92KB)
Pest control by generalist parasitoids: A bifurcation theory approach
Gunog Seo and Gail S. K. Wolkowicz
2019doi: 10.3934/dcdss.2020163 +[Abstract](472) +[HTML](313) +[PDF](784.46KB)
Functionally-fitted block $ \theta $-methods for ordinary differential equations
Jingwen Wu, Jintao Hu and Hongjiong Tian
2019doi: 10.3934/dcdss.2020164 +[Abstract](357) +[HTML](203) +[PDF](321.76KB)
Numerical continuation and delay equations: A novel approach for complex models of structured populations
Alessia Andò, Dimitri Breda and Francesca Scarabel
2019doi: 10.3934/dcdss.2020165 +[Abstract](508) +[HTML](250) +[PDF](459.88KB)
Bistability analysis of virus infection models with time delays
Yuri Nechepurenko, Michael Khristichenko, Dmitry Grebennikov and Gennady Bocharov
2019doi: 10.3934/dcdss.2020166 +[Abstract](438) +[HTML](225) +[PDF](380.01KB)
A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation
Yufeng Zhang, Wen-Xiu Ma and Jin-Yun Yang
2019doi: 10.3934/dcdss.2020167 +[Abstract](401) +[HTML](263) +[PDF](369.03KB)
Numerical study of an influenza epidemic dynamical model with diffusion
Mudassar Imran, Mohamed Ben-Romdhane, Ali R. Ansari and Helmi Temimi
2019doi: 10.3934/dcdss.2020168 +[Abstract](464) +[HTML](239) +[PDF](4173.22KB)
A study of a generalized first extended (3+1)-dimensional Jimbo-Miwa equation
Chaudry Masood Khalique and Letlhogonolo Daddy Moleleki
2019doi: 10.3934/dcdss.2020169 +[Abstract](371) +[HTML](213) +[PDF](259.62KB)
On sufficiency issues, first integrals and exact solutions of Uzawa-Lucas model with unskilled labor
Rehana Naz
2019doi: 10.3934/dcdss.2020170 +[Abstract](358) +[HTML](206) +[PDF](423.72KB)
A Sturm-Liouville approach for continuous and discrete Mittag-Leffler kernel fractional operators
Raziye Mert, Thabet Abdeljawad and Allan Peterson
2019doi: 10.3934/dcdss.2020171 +[Abstract](425) +[HTML](253) +[PDF](392.67KB)
A novel model for the contamination of a system of three artificial lakes
Veysel Fuat Hatipoğlu
2019doi: 10.3934/dcdss.2020176 +[Abstract](373) +[HTML](200) +[PDF](3352.88KB)
How interest rate influences a business cycle model
Qigang Yuan, Yutong Sun and Jingli Ren
2019doi: 10.3934/dcdss.2020190 +[Abstract](387) +[HTML](210) +[PDF](2451.82KB)
Rich dynamics in some generalized difference equations
Xiujuan Wang and Mingshu Peng
2019doi: 10.3934/dcdss.2020191 +[Abstract](331) +[HTML](190) +[PDF](4886.95KB)
A nutrient-prey-predator model: Stability and bifurcations
Mary Ballyk, Ross Staffeldt and Ibrahim Jawarneh
2019doi: 10.3934/dcdss.2020192 +[Abstract](421) +[HTML](196) +[PDF](754.04KB)
Dynamics of solutions of a reaction-diffusion equation with delayed inhibition
Tarik Mohammed Touaoula, Mohammed Nor Frioui, Nikolay Bessonov and Vitaly Volpert
2019doi: 10.3934/dcdss.2020193 +[Abstract](386) +[HTML](203) +[PDF](1068.06KB)
Oscillations induced by quiescent adult female in a model of wild aedes aegypti mosquitoes
Ahmed Aghriche, Radouane Yafia, M. A. Aziz Alaoui and Abdessamad Tridane
2019doi: 10.3934/dcdss.2020194 +[Abstract](342) +[HTML](251) +[PDF](1389.15KB)
Delay-induced instabilities of stationary solutions in a single species nonlocal hyperbolic-parabolic population model
Majid Bani-Yaghoub, Chunhua Ou and Guangming Yao
2019doi: 10.3934/dcdss.2020195 +[Abstract](366) +[HTML](241) +[PDF](1007.94KB)
Pseudospectral discretization of delay differential equations in sun-star formulation: Results and conjectures
Odo Diekmann, Francesca Scarabel and Rossana Vermiglio
2019doi: 10.3934/dcdss.2020196 +[Abstract](386) +[HTML](239) +[PDF](884.83KB)
Deep quench approximation and optimal control of general Cahn–Hilliard systems with fractional operators and double obstacle potentials
Pierluigi Colli, Gianni Gilardi and Jürgen Sprekels
2019doi: 10.3934/dcdss.2020213 +[Abstract](427) +[HTML](201) +[PDF](459.68KB)
Bifurcations and exact traveling wave solutions of the Zakharov-Rubenchik equation
Lijun Zhang, Peiying Yuan, Jingli Fu and Chaudry Masood Khalique
2019doi: 10.3934/dcdss.2020214 +[Abstract](337) +[HTML](211) +[PDF](395.51KB)
On group analysis of optimal control problems in economic growth models
Gülden Gün Polat and Teoman Özer
2019doi: 10.3934/dcdss.2020215 +[Abstract](731) +[HTML](215) +[PDF](503.83KB)
Lagrangian dynamics by nonlocal constants of motion
Gianluca Gorni and Gaetano Zampieri
2019doi: 10.3934/dcdss.2020216 +[Abstract](286) +[HTML](191) +[PDF](295.18KB)
Smooth and singular traveling wave solutions for the Serre-Green-Naghdi equations
Lijun Zhang, Yixia Shi and Maoan Han
2019doi: 10.3934/dcdss.2020217 +[Abstract](413) +[HTML](242) +[PDF](417.16KB)
Symmetries and conservation laws of a time dependent nonlinear reaction-convection-diffusion equation
Zhijie Cao and Lijun Zhang
2019doi: 10.3934/dcdss.2020218 +[Abstract](313) +[HTML](221) +[PDF](325.73KB)
Lie group classification a generalized coupled (2+1)-dimensional hyperbolic system
Ben Muatjetjeja, Dimpho Millicent Mothibi and Chaudry Masood Khalique
2019doi: 10.3934/dcdss.2020219 +[Abstract](346) +[HTML](196) +[PDF](261.63KB)
Quasilinearization applied to boundary value problems at resonance for Riemann-Liouville fractional differential equations
Paul Eloe and Jaganmohan Jonnalagadda
2019doi: 10.3934/dcdss.2020220 +[Abstract](353) +[HTML](187) +[PDF](292.51KB)
Space-time kernel based numerical method for generalized Black-Scholes equation
Marjan Uddin and Hazrat Ali
2019doi: 10.3934/dcdss.2020221 +[Abstract](450) +[HTML](238) +[PDF](431.22KB)
Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion
María-Santos Bruzón, Elena Recio, Tamara-María Garrido and Rafael de la Rosa
2019doi: 10.3934/dcdss.2020222 +[Abstract](410) +[HTML](200) +[PDF](381.98KB)
Local meshless differential quadrature collocation method for time-fractional PDEs
Imtiaz Ahmad, Siraj-ul-Islam, Mehnaz and Sakhi Zaman
2019doi: 10.3934/dcdss.2020223 +[Abstract](412) +[HTML](238) +[PDF](2064.65KB)
Exact and numerical solution of stochastic Burgers equations with variable coefficients
Stephanie Flores, Elijah Hight, Everardo Olivares-Vargas, Tamer Oraby, Jose Palacio, Erwin Suazo and Jasang Yoon
2019doi: 10.3934/dcdss.2020224 +[Abstract](544) +[HTML](209) +[PDF](936.27KB)
Conservation laws and line soliton solutions of a family of modified KP equations
Stephen C. Anco, Maria Luz Gandarias and Elena Recio
2019doi: 10.3934/dcdss.2020225 +[Abstract](356) +[HTML](217) +[PDF](418.71KB)
Convergence analysis of the discrete duality finite volume scheme for the regularised Heston model
Matúš Tibenský and Angela Handlovičová
2019doi: 10.3934/dcdss.2020226 +[Abstract](370) +[HTML](193) +[PDF](415.52KB)
Comparison of modern heuristics on solving the phase stability testing problem
Tomáš Smejkal, Jiří Mikyška and Jaromír Kukal
2019doi: 10.3934/dcdss.2020227 +[Abstract](341) +[HTML](217) +[PDF](8678.87KB)
Spatio-temporal coexistence in the cross-diffusion competition system
Hirofumi Izuhara and Shunsuke Kobayashi
2019doi: 10.3934/dcdss.2020228 +[Abstract](434) +[HTML](191) +[PDF](384.38KB)
Reflection of a self-propelling rigid disk from a boundary
Shin-Ichiro Ei, Masayasu Mimura and Tomoyuki Miyaji
2019doi: 10.3934/dcdss.2020229 +[Abstract](335) +[HTML](203) +[PDF](1085.73KB)
Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition
Md. Masum Murshed, Kouta Futai, Masato Kimura and Hirofumi Notsu
2019doi: 10.3934/dcdss.2020230 +[Abstract](814) +[HTML](231) +[PDF](5720.95KB)
Semi-automatic segmentation of NATURA 2000 habitats in Sentinel-2 satellite images by evolving open curves
Karol Mikula, Jozef Urbán, Michal Kollár, Martin Ambroz, Ivan Jarolímek, Jozef Šibík and Mária Šibíková
2019doi: 10.3934/dcdss.2020231 +[Abstract](374) +[HTML](214) +[PDF](4473.02KB)
Numerical simulation of fluidization for application in oxyfuel combustion
Michal Beneš, Pavel Eichler, Jakub Klinkovský, Miroslav Kolář, Jakub Solovský, Pavel Strachota and Alexandr Žák
2019doi: 10.3934/dcdss.2020232 +[Abstract](342) +[HTML](193) +[PDF](758.92KB)
A method how to determine parameters arising in a smoldering evolution equation by image segmentation for experiment's movies
Maika Goto, Kazunori Kuwana, Yasuhide Uegata and Shigetoshi Yazaki
2019doi: 10.3934/dcdss.2020233 +[Abstract](402) +[HTML](239) +[PDF](2283.97KB)
Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media
Imam Wijaya and Hirofumi Notsu
2019doi: 10.3934/dcdss.2020234 +[Abstract](435) +[HTML](195) +[PDF](1848.1KB)
The inverse volatility problem for American options
Ian Knowles and Ajay Mahato
2020doi: 10.3934/dcdss.2020235 +[Abstract](304) +[HTML](175) +[PDF](929.76KB)
A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation
Giuseppe Maria Coclite and Lorenzo di Ruvo
2020doi: 10.3934/dcdss.2020236 +[Abstract](302) +[HTML](187) +[PDF](386.04KB)
Modeling epidemic outbreaks in geographical regions: Seasonal influenza in Puerto Rico
Pierre Magal, Ahmed Noussair, Glenn Webb and Yixiang Wu
2020doi: 10.3934/dcdss.2020237 +[Abstract](311) +[HTML](200) +[PDF](3963.5KB)
On subdiagonal rational Padé approximations and the Brenner-Thomée approximation theorem for operator semigroups
Frank Neubrander, Koray Özer and Lee Windsperger
2020doi: 10.3934/dcdss.2020238 +[Abstract](281) +[HTML](170) +[PDF](340.15KB)
On hyperbolic mixed problems with dynamic and Wentzell boundary conditions
Davide Guidetti
2020doi: 10.3934/dcdss.2020239 +[Abstract](277) +[HTML](178) +[PDF](325.18KB)
Fractional Cauchy problems for infinite interval case
Mohammed Al Horani, Mauro Fabrizio, Angelo Favini and Hiroki Tanabe
2020doi: 10.3934/dcdss.2020240 +[Abstract](264) +[HTML](181) +[PDF](362.15KB)
Existence of minimizers for some quasilinear elliptic problems
Anna Maria Candela and Addolorata Salvatore
2020doi: 10.3934/dcdss.2020241 +[Abstract](290) +[HTML](169) +[PDF](336.23KB)
The surface diffusion and the Willmore flow for uniformly regular hypersurfaces
Jeremy LeCrone, Yuanzhen Shao and Gieri Simonett
2020doi: 10.3934/dcdss.2020242 +[Abstract](296) +[HTML](179) +[PDF](479.93KB)
On absence of threshold resonances for Schrödinger and Dirac operators
Fritz Gesztesy and Roger Nichols
2020doi: 10.3934/dcdss.2020243 +[Abstract](298) +[HTML](187) +[PDF](486.76KB)
Spectra of structured diffusive population equations with generalized Wentzell-Robin boundary conditions and related topics
Mustapha Mokhtar-Kharroubi
2020doi: 10.3934/dcdss.2020244 +[Abstract](247) +[HTML](191) +[PDF](343.16KB)
On the effects of the exterior matrix hostility and a U-shaped density dependent dispersal on a diffusive logistic growth model
Nalin Fonseka, Ratnasingham Shivaji, Jerome Goddard, Ⅱ, Quinn A. Morris and Byungjae Son
2020doi: 10.3934/dcdss.2020245 +[Abstract](337) +[HTML](207) +[PDF](1634.53KB)
Feynman path formula for the time fractional Schrödinger equation
Hassan Emamirad and Arnaud Rougirel
2020doi: 10.3934/dcdss.2020246 +[Abstract](257) +[HTML](174) +[PDF](458.92KB)
Large data solutions for semilinear higher order equations
Sandra Lucente
2020doi: 10.3934/dcdss.2020247 +[Abstract](281) +[HTML](170) +[PDF](307.18KB)
A quantitative Hopf-type maximum principle for subsolutions of elliptic PDEs
Tomasz Komorowski and Adam Bobrowski
2020doi: 10.3934/dcdss.2020248 +[Abstract](295) +[HTML](186) +[PDF](349.51KB)
Melnikov analysis of the nonlocal nanobeam resting on fractional-order softening nonlinear viscoelastic foundations
Guy Joseph Eyebe, Betchewe Gambo, Alidou Mohamadou and Timoleon Crepin Kofane
2020doi: 10.3934/dcdss.2020252 +[Abstract](329) +[HTML](175) +[PDF](733.98KB)
Stability and bifurcation analysis in a delay-induced predator-prey model with Michaelis-Menten type predator harvesting
Ming Liu, Dongpo Hu and Fanwei Meng
2020doi: 10.3934/dcdss.2020259 +[Abstract](306) +[HTML](173) +[PDF](1720.53KB)
Synchronization analysis of drive-response multi-layer dynamical networks with additive couplings and stochastic perturbations
Jinsen Zhuang, Yan Zhou and Yonghui Xia
2020doi: 10.3934/dcdss.2020279 +[Abstract](263) +[HTML](164) +[PDF](515.12KB)
Input-to-state stability and no-inputs stabilization of delayed feedback chaotic financial system involved in open and closed economy
Ruofeng Rao and Shouming Zhong
2020doi: 10.3934/dcdss.2020280 +[Abstract](370) +[HTML](169) +[PDF](399.6KB)
Existence and multiplicity of positive solutions for a class of quasilinear Schrödinger equations in $ \mathbb R^N $$ ^\diamondsuit $
Ziqing Yuan and Jianshe Yu
2020doi: 10.3934/dcdss.2020281 +[Abstract](231) +[HTML](126) +[PDF](423.16KB)
Optimal laminates in single-slip elastoplasticity
Sergio Conti and Georg Dolzmann
2020doi: 10.3934/dcdss.2020302 +[Abstract](237) +[HTML](157) +[PDF](407.27KB)
Cahn-Hilliard equation with capillarity in actual deforming configurations
Tomáš Roubíček
2020doi: 10.3934/dcdss.2020303 +[Abstract](205) +[HTML](124) +[PDF](349.92KB)
Rate-independent evolution of sets
Riccarda Rossi, Ulisse Stefanelli and Marita Thomas
2020doi: 10.3934/dcdss.2020304 +[Abstract](254) +[HTML](150) +[PDF](596.09KB)
The Spectrum of delay differential equations with multiple hierarchical large delays
Stefan Ruschel and Serhiy Yanchuk
2020doi: 10.3934/dcdss.2020321 +[Abstract](150) +[HTML](96) +[PDF](2700.2KB)
Numerical approximation of von Kármán viscoelastic plates
Manuel Friedrich, Martin Kružík and Jan Valdman
2020doi: 10.3934/dcdss.2020322 +[Abstract](165) +[HTML](93) +[PDF](2473.99KB)
Adaptive time stepping in elastoplasticity
Sören Bartels and Jakob Keck
2020doi: 10.3934/dcdss.2020323 +[Abstract](139) +[HTML](83) +[PDF](963.59KB)
Perturbed minimizing movements of families of functionals
Andrea Braides and Antonio Tribuzio
2020doi: 10.3934/dcdss.2020324 +[Abstract](146) +[HTML](86) +[PDF](381.33KB)
Existence of weak solutions for a sharp interface model for phase separation on biological membranes
Helmut Abels and Johannes Kampmann
2020doi: 10.3934/dcdss.2020325 +[Abstract](126) +[HTML](90) +[PDF](422.79KB)
Global existence and uniqueness for a volume-surface reaction-nonlinear-diffusion system
Karoline Disser
2020doi: 10.3934/dcdss.2020326 +[Abstract](113) +[HTML](97) +[PDF](334.02KB)
Contraction and regularizing properties of heat flows in metric measure spaces
Giulia Luise and Giuseppe Savaré
2020doi: 10.3934/dcdss.2020327 +[Abstract](128) +[HTML](91) +[PDF](527.03KB)
Stochastic homogenization of $ \Lambda $-convex gradient flows
Martin Heida, Stefan Neukamm and Mario Varga
2020doi: 10.3934/dcdss.2020328 +[Abstract](144) +[HTML](104) +[PDF](427.1KB)
Threshold phenomenon for homogenized fronts in random elastic media
Patrick W. Dondl and Martin Jesenko
2020doi: 10.3934/dcdss.2020329 +[Abstract](134) +[HTML](88) +[PDF](398.81KB)
Viscoelasticity with limiting strain
Yasemin Şengül
2020doi: 10.3934/dcdss.2020330 +[Abstract](166) +[HTML](94) +[PDF](3255.1KB)
Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity
Martin Kalousek, Joshua Kortum and Anja Schlömerkemper
2020doi: 10.3934/dcdss.2020331 +[Abstract](122) +[HTML](84) +[PDF](387.7KB)
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads
Dorothee Knees and Chiara Zanini
2020doi: 10.3934/dcdss.2020332 +[Abstract](115) +[HTML](93) +[PDF](426.44KB)
Numerical evaluation of artificial boundary condition for wall-bounded stably stratified flows
Tomáš Bodnár, Philippe Fraunié, Petr Knobloch and Hynek Řezníček
2020doi: 10.3934/dcdss.2020333 +[Abstract](112) +[HTML](95) +[PDF](8832.75KB)
Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions
Klemens Fellner, Jeff Morgan and Bao Quoc Tang
2020doi: 10.3934/dcdss.2020334 +[Abstract](145) +[HTML](91) +[PDF](344.6KB)
Chaotic oscillations of linear hyperbolic PDE with variable coefficients and implicit boundary conditions
Qigui Yang and Qiaomin Xiang
2020doi: 10.3934/dcdss.2020335 +[Abstract](137) +[HTML](90) +[PDF](891.24KB)
New results for oscillation of fractional partial differential equations with damping term
Liping Luo, Zhenguo Luo and Yunhui Zeng
2020doi: 10.3934/dcdss.2020336 +[Abstract](134) +[HTML](90) +[PDF](261.14KB)
On the number of limit cycles of a quartic polynomial system
Min Li and Maoan Han
2020doi: 10.3934/dcdss.2020337 +[Abstract](129) +[HTML](85) +[PDF](347.18KB)
Positive solutions of the discrete Robin problem with $ \phi $-Laplacian
Jiaoxiu Ling and Zhan Zhou
2020doi: 10.3934/dcdss.2020338 +[Abstract](153) +[HTML](85) +[PDF](293.23KB)
Existence criteria of ground state solutions for Schrödinger-Poisson systems with a vanishing potential
Sitong Chen, Wennian Huang and Xianhua Tang
2020doi: 10.3934/dcdss.2020339 +[Abstract](130) +[HTML](82) +[PDF](359.37KB)
Traveling waves in a nonlocal dispersal predator-prey model
Yu-Xia Hao, Wan-Tong Li and Fei-Ying Yang
2020doi: 10.3934/dcdss.2020340 +[Abstract](149) +[HTML](91) +[PDF](410.11KB)
Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term
Xiao Wu and Mingkang Ni
2020doi: 10.3934/dcdss.2020341 +[Abstract](200) +[HTML](87) +[PDF](759.5KB)
Higher order convergence for a class of set differential equations with initial conditions
Peiguang Wang, Xiran Wu and Huina Liu
2020doi: 10.3934/dcdss.2020342 +[Abstract](148) +[HTML](89) +[PDF](313.23KB)
Global Hopf bifurcation in networks with fast feedback cycles
Bernold Fiedler
2020doi: 10.3934/dcdss.2020344 +[Abstract](86) +[HTML](46) +[PDF](402.43KB)
Effective diffusion in thin structures via generalized gradient systems and EDP-convergence
Thomas Frenzel and Matthias Liero
2020doi: 10.3934/dcdss.2020345 +[Abstract](66) +[HTML](50) +[PDF](598.15KB)
Orthogonality of fluxes in general nonlinear reaction networks
D. R. Michiel Renger and Johannes Zimmer
2020doi: 10.3934/dcdss.2020346 +[Abstract](73) +[HTML](51) +[PDF](337.53KB)
A new numerical method for level set motion in normal direction used in optical flow estimation
Peter Frolkovič and Viera Kleinová
2020doi: 10.3934/dcdss.2020347 +[Abstract](69) +[HTML](46) +[PDF](2203.44KB)
An automated segmentation of NATURA 2000 habitats from Sentinel-2 optical data
Karol Mikula, Jozef Urbán, Michal Kollár, Martin Ambroz, Ivan Jarolímek, Jozef Šibík and Mária Šibíková
2020doi: 10.3934/dcdss.2020348 +[Abstract](62) +[HTML](45) +[PDF](3342.43KB)
Computational study of immersed boundary - lattice Boltzmann method for fluid-structure interaction
Pavel Eichler, Radek Fučík and Robert Straka
2020doi: 10.3934/dcdss.2020349 +[Abstract](96) +[HTML](49) +[PDF](3753.85KB)
Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh
Peter Frolkovič, Karol Mikula, Jooyoung Hahn, Dirk Martin and Branislav Basara
2020doi: 10.3934/dcdss.2020350 +[Abstract](81) +[HTML](44) +[PDF](3938.33KB)
3D image segmentation supported by a point cloud
Balázs Kósa, Karol Mikula, Markjoe Olunna Uba, Antonia Weberling, Neophytos Christodoulou and Magdalena Zernicka-Goetz
2020doi: 10.3934/dcdss.2020351 +[Abstract](81) +[HTML](43) +[PDF](3718.61KB)
Machine-learning construction of a model for a macroscopic fluid variable using the delay-coordinate of a scalar observable
Kengo Nakai and Yoshitaka Saiki
2020doi: 10.3934/dcdss.2020352 +[Abstract](123) +[HTML](43) +[PDF](2368.47KB)
A doubly splitting scheme for the Caginalp system with singular potentials and dynamic boundary conditions
Franck Davhys Reval Langa and Morgan Pierre
2020doi: 10.3934/dcdss.2020353 +[Abstract](63) +[HTML](44) +[PDF](482.57KB)
Theoretical and numerical analysis of a class of quasilinear elliptic equations
Nahed Naceur, Nour Eddine Alaa, Moez Khenissi and Jean R. Roche
2020doi: 10.3934/dcdss.2020354 +[Abstract](138) +[HTML](41) +[PDF](933.57KB)
Stationary reaction-diffusion systems in $ L^1 $ revisited
El Haj Laamri and Michel Pierre
2020doi: 10.3934/dcdss.2020355 +[Abstract](87) +[HTML](69) +[PDF](299.09KB)
A delayed nonlinear stochastic model for cocaine consumption: Stability analysis and simulation using real data
C. Burgos, J.-C. Cortés, L. Shaikhet and R.-J. Villanueva
2020doi: 10.3934/dcdss.2020356 +[Abstract](231) +[HTML](78) +[PDF](492.94KB)
Fault-tolerant anti-synchronization control for chaotic switched neural networks with time delay and reaction diffusion
Jianping Zhou, Yamin Liu, Ju H. Park, Qingkai Kong and Zhen Wang
2020doi: 10.3934/dcdss.2020357 +[Abstract](98) +[HTML](50) +[PDF](750.58KB)
A Novel Lyapunov functional with application to stability analysis of neutral systems with nonlinear disturbances
Sibel Senan, Eylem Yucel, Zeynep Orman, Ruya Samli and Sabri Arik
2020doi: 10.3934/dcdss.2020358 +[Abstract](88) +[HTML](46) +[PDF](250.84KB)
Further stability analysis of neutral-type Cohen-Grossberg neural networks with multiple delays
Ozlem Faydasicok
2020doi: 10.3934/dcdss.2020359 +[Abstract](122) +[HTML](48) +[PDF](259.22KB)
Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties
Philippe Laurençot and Christoph Walker
2020doi: 10.3934/dcdss.2020360 +[Abstract](85) +[HTML](50) +[PDF](381.75KB)
On classes of well-posedness for quasilinear diffusion equations in the whole space
Boris Andreianov and Mohamed Maliki
2020doi: 10.3934/dcdss.2020361 +[Abstract](79) +[HTML](35) +[PDF](560.22KB)
Lipschitz stability for the growth rate coefficients in a nonlinear Fisher-KPP equation
Patrick Martinez and Judith Vancostenoble
2020doi: 10.3934/dcdss.2020362 +[Abstract](78) +[HTML](38) +[PDF](476.04KB)
Instability of free interfaces in premixed flame propagation
Claude-Michel Brauner and Luca Lorenzi
2020doi: 10.3934/dcdss.2020363 +[Abstract](98) +[HTML](66) +[PDF](491.88KB)
Equipartition of energy for nonautonomous damped wave equations
Marcello D'Abbicco, Giovanni Girardi, Giséle Ruiz Goldstein, Jerome A. Goldstein and Silvia Romanelli
2020doi: 10.3934/dcdss.2020364 +[Abstract](86) +[HTML](42) +[PDF](385.83KB)
A semilinear heat equation with initial data in negative Sobolev spaces
Haruki Umakoshi
2020doi: 10.3934/dcdss.2020365 +[Abstract](127) +[HTML](48) +[PDF](472.53KB)
Weak sequential stability for a nonlinear model of nematic electrolytes
Eduard Feireisl, Elisabetta Rocca, Giulio Schimperna and Arghir Zarnescu
2020doi: 10.3934/dcdss.2020366 +[Abstract](36) +[HTML](20) +[PDF](473.27KB)
Pullback exponential attractors for differential equations with delay
Sana Netchaoui, Mohamed Ali Hammami and Tomás Caraballo
2020doi: 10.3934/dcdss.2020367 +[Abstract](41) +[HTML](17) +[PDF](412.84KB)
$ \mathcal{H}_{\infty} $ control for fuzzy markovian jump systems based on sampled-data control method
Xingyue Liang, Jianwei Xia, Guoliang Chen, Huasheng Zhang and Zhen Wang
2020doi: 10.3934/dcdss.2020368 +[Abstract](45) +[HTML](23) +[PDF](388.31KB)
Complex systems with impulsive effects and logical dynamics: A brief overview
Bangxin Jiang, Bowen Li and Jianquan Lu
2020doi: 10.3934/dcdss.2020369 +[Abstract](37) +[HTML](32) +[PDF](586.08KB)
On the stability of sets for reaction–diffusion Cohen–Grossberg delayed neural networks
Ivanka Stamova and Gani Stamov
2020doi: 10.3934/dcdss.2020370 +[Abstract](45) +[HTML](28) +[PDF](342.64KB)
New synchronization index of non-identical networks
Shirin Panahi and Sajad Jafari
2020doi: 10.3934/dcdss.2020371 +[Abstract](71) +[HTML](19) +[PDF](5949.28KB)
Weighted pseudo almost periodicity of multi-proportional delayed shunting inhibitory cellular neural networks with D operator
Chuangxia Huang, Hedi Yang and Jinde Cao
2020doi: 10.3934/dcdss.2020372 +[Abstract](40) +[HTML](23) +[PDF](426.97KB)
Observability of switched Boolean control networks using algebraic forms
Yvjing Yang, Yang Liu, Jungang Lou and Zhen Wang
2020doi: 10.3934/dcdss.2020373 +[Abstract](43) +[HTML](23) +[PDF](499.96KB)
A simple digital spiking neural network: Synchronization and spike-train approximation
Hiroaki Uchida, Yuya Oishi and Toshimichi Saito
2020doi: 10.3934/dcdss.2020374 +[Abstract](43) +[HTML](22) +[PDF](2232.8KB)
Output feedback based sliding mode control for fuel quantity actuator system using a reduced-order GPIO
Hao Sun, Shihua Li and Xuming Wang
2020doi: 10.3934/dcdss.2020375 +[Abstract](41) +[HTML](18) +[PDF](1467.37KB)
Observer-based control for a class of hybrid linear and nonlinear systems
A. Alessandri, F. Bedouhene, D. Bouhadjra, A. Zemouche and P. Bagnerini
2020doi: 10.3934/dcdss.2020376 +[Abstract](48) +[HTML](26) +[PDF](545.8KB)
Optimal synchronization control of multiple euler-lagrange systems via event-triggered reinforcement learning
Yuan Xu, Xin Jin, Saiwei Wang and Yang Tang
2020doi: 10.3934/dcdss.2020377 +[Abstract](41) +[HTML](25) +[PDF](2044.6KB)
Traffic congestion pricing via network congestion game approach
Jing Zhang, Jianquan Lu, Jinde Cao, Wei Huang, Jianhua Guo and Yun Wei
2020doi: 10.3934/dcdss.2020378 +[Abstract](59) +[HTML](23) +[PDF](320.88KB)
Event-triggered adaptive fault-tolerant control for multi-agent systems with unknown disturbances
Hongru Ren, Shubo Li and Changxin Lu
2020doi: 10.3934/dcdss.2020379 +[Abstract](44) +[HTML](30) +[PDF](2126.23KB)
Sharp consistency estimates for a pressure-Poisson problem with Stokes boundary value problems
Kazunori Matsui
2020doi: 10.3934/dcdss.2020380 +[Abstract](6) +[HTML](2) +[PDF](312.73KB)
Computational optimization in solving the geodetic boundary value problems
Marek Macák, Róbert Čunderlík, Karol Mikula and Zuzana Minarechová
2020doi: 10.3934/dcdss.2020381 +[Abstract](6) +[HTML](6) +[PDF](8033.77KB)
Mathematical model of signal propagation in excitable media
Jakub Kantner and Michal Beneš
2020doi: 10.3934/dcdss.2020382 +[Abstract](7) +[HTML](2) +[PDF](1052.65KB)
Transformation of a Nucleon-Nucleon potential operator into its SU(3) tensor form using GPUs
Tomáš Oberhuber, Tomáš Dytrych, Kristina D. Launey, Daniel Langr and Jerry P. Draayer
2020doi: 10.3934/dcdss.2020383 +[Abstract](7) +[HTML](2) +[PDF](346.47KB)
Two notes on the O'Hara energies
Shoya Kawakami
2020doi: 10.3934/dcdss.2020384 +[Abstract](3) +[HTML](2) +[PDF](395.62KB)
An application of interpolation inequalities between the deviation of curvature and the isoperimetric ratio to the length-preserving flow
Kohei Nakamura
2020doi: 10.3934/dcdss.2020385 +[Abstract](5) +[HTML](2) +[PDF](274.42KB)
Signed-distance function based non-rigid registration of image series with varying image intensity
Kateřina Škardová, Tomáš Oberhubera, Jaroslav Tintěra and Radomír Chabiniok
2020doi: 10.3934/dcdss.2020386 +[Abstract](9) +[HTML](2) +[PDF](947.74KB)
Traveling wave solution for a diffusive simple epidemic model with a free boundary
Yoichi Enatsu, Emiko Ishiwata and Takeo Ushijima
2020doi: 10.3934/dcdss.2020387 +[Abstract](7) +[HTML](3) +[PDF](3744.67KB)
Convergence of a blow-up curve for a semilinear wave equation
Takiko Sasaki
2020doi: 10.3934/dcdss.2020388 +[Abstract](7) +[HTML](2) +[PDF](329.94KB)
Segmentation of color images using mean curvature flow and parametric curves
Petr Pauš and Shigetoshi Yazaki
2020doi: 10.3934/dcdss.2020389 +[Abstract](6) +[HTML](2) +[PDF](9635.71KB)
Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flow
Tetsuya Ishiwata and Takeshi Ohtsuka
2020doi: 10.3934/dcdss.2020390 +[Abstract](7) +[HTML](3) +[PDF](3661.6KB)
Numerical and mathematical analysis of blow-up problems for a stochastic differential equation
Tetsuya Ishiwata and Young Chol Yang
2020doi: 10.3934/dcdss.2020391 +[Abstract](7) +[HTML](2) +[PDF](3774.75KB)
Global attractor for damped forced nonlinear logarithmic schrödinger equations
Olivier Goubet and Ezzeddine Zahrouni
2020doi: 10.3934/dcdss.2020393 +[Abstract](4) +[HTML](2) +[PDF](321.63KB)
Lipschitz stability in determination of coefficients in a two-dimensional Boussinesq system by arbitrary boundary observation
Mourad Bellassoued and Chaima Moufid
2020doi: 10.3934/dcdss.2020394 +[Abstract](5) +[HTML](2) +[PDF](330.07KB)
Finite-time exponential synchronization of reaction-diffusion delayed complex-dynamical networks
M. Syed Ali, L. Palanisamy, Nallappan Gunasekaran, Ahmed Alsaedi and Bashir Ahmad
2020doi: 10.3934/dcdss.2020395 +[Abstract](8) +[HTML](2) +[PDF](382.51KB)
Fully distributed consensus for higher-order nonlinear multi-agent systems with unmatched disturbances
Ke Yang, Wencheng Zou, Zhengrong Xiang and Ronghao Wang
2020doi: 10.3934/dcdss.2020396 +[Abstract](7) +[HTML](4) +[PDF](354.11KB)
Stability of the heat and of the wave equations with boundary time-varying delays
Serge Nicaise, Julie Valein and Emilia Fridman
2009, 2(3) : 559-581 doi: 10.3934/dcdss.2009.2.559 +[Abstract](3229) +[PDF](248.1KB) Cited By(48)
Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
Juan-Luis Vázquez
2014, 7(4) : 857-885 doi: 10.3934/dcdss.2014.7.857 +[Abstract](3816) +[PDF](592.6KB) Cited By(47)
On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
Claudianor O. Alves, M. M. Cavalcanti, Valeria N. Domingos Cavalcanti, Mohammad A. Rammaha and Daniel Toundykov
2009, 2(3) : 583-608 doi: 10.3934/dcdss.2009.2.583 +[Abstract](3155) +[PDF](327.1KB) Cited By(39)
Non-autonomous attractors for integro-differential evolution equations
Tomás Caraballo and P.E. Kloeden
2009, 2(1) : 17-36 doi: 10.3934/dcdss.2009.2.17 +[Abstract](2896) +[PDF](245.6KB) Cited By(33)
A new finite element scheme for Landau-Lifchitz equations
François Alouges
2008, 1(2) : 187-196 doi: 10.3934/dcdss.2008.1.187 +[Abstract](2631) +[PDF](185.3KB) Cited By(29)
Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
Moez Daoulatli, Irena Lasiecka and Daniel Toundykov
2009, 2(1) : 67-94 doi: 10.3934/dcdss.2009.2.67 +[Abstract](3131) +[PDF](368.9KB) Cited By(25)
Dynamics of ratio-dependent Predator-Prey models with nonconstant harvesting
Benjamin Leard, Catherine Lewis and Jorge Rebaza
2008, 1(2) : 303-315 doi: 10.3934/dcdss.2008.1.303 +[Abstract](3480) +[PDF](682.3KB) Cited By(23)
Birth of canard cycles
Freddy Dumortier and Robert Roussarie
2009, 2(4) : 723-781 doi: 10.3934/dcdss.2009.2.723 +[Abstract](2926) +[PDF](593.2KB) Cited By(22)
A simple proof of well-posedness for the free-surface incompressible Euler equations
Daniel Coutand and Steve Shkoller
2010, 3(3) : 429-449 doi: 10.3934/dcdss.2010.3.429 +[Abstract](2717) +[PDF](244.7KB) Cited By(22)
New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws
Martin Oberlack and Andreas Rosteck
2010, 3(3) : 451-471 doi: 10.3934/dcdss.2010.3.451 +[Abstract](3602) +[PDF](256.0KB) Cited By(20)
Generalized fractional derivatives and Laplace transform
Fahd Jarad and Thabet Abdeljawad
2020, 13(3) : 709-722 doi: 10.3934/dcdss.2020039 +[Abstract](4118) +[HTML](1424) +[PDF](306.74KB) PDF Downloads(1049)
Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel
Mehmet Yavuz and Necati Özdemir
2020, 13(3) : 995-1006 doi: 10.3934/dcdss.2020058 +[Abstract](2665) +[HTML](681) +[PDF](664.49KB) PDF Downloads(566)
On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
Anouar Bahrouni and VicenŢiu D. RĂdulescu
2018, 11(3) : 379-389 doi: 10.3934/dcdss.2018021 +[Abstract](5663) +[HTML](433) +[PDF](418.1KB) PDF Downloads(469)
A fractional order HBV model with hospitalization
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Taza Gul and Fawad Hussain
2020, 13(3) : 957-974 doi: 10.3934/dcdss.2020056 +[Abstract](2110) +[HTML](1025) +[PDF](2481.32KB) PDF Downloads(433)
Stabilization in a chemotaxis model for virus infection
Nicola Bellomo and Youshan Tao
2020, 13(2) : 105-117 doi: 10.3934/dcdss.2020006 +[Abstract](2567) +[HTML](883) +[PDF](354.23KB) PDF Downloads(428)
Modeling the transmission dynamics of avian influenza with saturation and psychological effect
Muhammad Altaf Khan, Muhammad Farhan, Saeed Islam and Ebenezer Bonyah
2019, 12(3) : 455-474 doi: 10.3934/dcdss.2019030 +[Abstract](5035) +[HTML](484) +[PDF](1679.39KB) PDF Downloads(414)
A novel predictor-corrector scheme for solving variable-order fractional delay differential equations involving operators with Mittag-Leffler kernel
Antonio Coronel-Escamilla and José Francisco Gómez-Aguilar
2020, 13(3) : 561-574 doi: 10.3934/dcdss.2020031 +[Abstract](2096) +[HTML](758) +[PDF](860.14KB) PDF Downloads(392)
Extension of triple Laplace transform for solving fractional differential equations
Amir Khan, Asaf Khan, Tahir Khan and Gul Zaman
2020, 13(3) : 755-768 doi: 10.3934/dcdss.2020042 +[Abstract](2257) +[HTML](911) +[PDF](608.6KB) PDF Downloads(389)
Existence results of Hilfer integro-differential equations with fractional order
Ramasamy Subashini, Chokkalingam Ravichandran, Kasthurisamy Jothimani and Haci Mehmet Baskonus
2020, 13(3) : 911-923 doi: 10.3934/dcdss.2020053 +[Abstract](3249) +[HTML](844) +[PDF](399.15KB) PDF Downloads(372)
New exact solutions for some fractional order differential equations via improved sub-equation method
Berat Karaagac
2019, 12(3) : 447-454 doi: 10.3934/dcdss.2019029 +[Abstract](4135) +[HTML](254) +[PDF](846.56KB) PDF Downloads(352)

2018  Impact Factor: 0.545

Readers

Authors

Editors/Guest Editors

Referees

Librarians

Call for special issues

Email Alert

[Back to Top]

Copyright © 2020 American Institute of Mathematical Sciences