ISSN:
 1937-1632

eISSN:
 1937-1179

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:

Preface to this special issue
Genni Fragnelli, Luca Lorenzi and Alain Miranville
2020, 13(5) : ⅰ-ⅲ doi: 10.3934/dcdss.2020080 +[Abstract](70) +[HTML](32) +[PDF](1559.81KB)
An identification problem for a linear evolution equation in a banach space
Viorel Barbu and Gabriela Marinoschi
2020, 13(5) : 1429-1440 doi: 10.3934/dcdss.2020081 +[Abstract](894) +[HTML](461) +[PDF](320.68KB)
Precise estimates for biorthogonal families under asymptotic gap conditions
Piermarco Cannarsa, Patrick Martinez and Judith Vancostenoble
2020, 13(5) : 1441-1472 doi: 10.3934/dcdss.2020082 +[Abstract](680) +[HTML](444) +[PDF](487.68KB)
Global existence for Laplace reaction-diffusion equations
Angelo Favini and Atsushi Yagi
2020, 13(5) : 1473-1493 doi: 10.3934/dcdss.2020083 +[Abstract](943) +[HTML](409) +[PDF](362.04KB)
Singular parabolic equations with interior degeneracy and non smooth coefficients: The Neumann case
Genni Fragnelli and Dimitri Mugnai
2020, 13(5) : 1495-1511 doi: 10.3934/dcdss.2020084 +[Abstract](788) +[HTML](424) +[PDF](172.95KB)
A generalized Cox-Ingersoll-Ross equation with growing initial conditions
Giséle Ruiz Goldstein, Jerome A. Goldstein, Rosa Maria Mininni and Silvia Romanelli
2020, 13(5) : 1513-1528 doi: 10.3934/dcdss.2020085 +[Abstract](663) +[HTML](396) +[PDF](410.26KB)
Vector-valued Schrödinger operators in Lp-spaces
Markus Kunze, Abdallah Maichine and Abdelaziz Rhandi
2020, 13(5) : 1529-1541 doi: 10.3934/dcdss.2020086 +[Abstract](805) +[HTML](384) +[PDF](342.41KB)
Mean periodic solutions of a inhomogeneous heat equation with random coefficients
Galina Kurina and Vladimir Zadorozhniy
2020, 13(5) : 1543-1551 doi: 10.3934/dcdss.2020087 +[Abstract](776) +[HTML](430) +[PDF](255.63KB)
The Stokes problem in fractal domains: Asymptotic behaviour of the solutions
Maria Rosaria Lancia and Paola Vernole
2020, 13(5) : 1553-1565 doi: 10.3934/dcdss.2020088 +[Abstract](769) +[HTML](393) +[PDF](680.45KB)
Stability and errors analysis of two iterative schemes of fractional steps type associated to a nonlinear reaction-diffusion equation
Costică Moroşanu
2020, 13(5) : 1567-1587 doi: 10.3934/dcdss.2020089 +[Abstract](842) +[HTML](383) +[PDF](427.07KB)
Joint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memory
Luciano Pandolfi
2020, 13(5) : 1589-1599 doi: 10.3934/dcdss.2020090 +[Abstract](665) +[HTML](366) +[PDF](262.11KB)
The hypoelliptic Robin problem for quasilinear elliptic equations
Kazuaki Taira
2020, 13(5) : 1601-1618 doi: 10.3934/dcdss.2020091 +[Abstract](993) +[HTML](408) +[PDF](374.14KB)
Errata to "Modeling and optimal control of HIV/AIDS prevention through PrEP", Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 1,119–141
Cristiana J. Silva and Delfim F. M. Torres
2020, 13(5) : 1619-1621 doi: 10.3934/dcdss.2020343 +[Abstract](89) +[HTML](41) +[PDF](203.19KB)
Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems
Yejuan Wang and Tomás Caraballo
doi: 10.3934/dcdss.2020092 +[Abstract](695) +[HTML](357) +[PDF](364.35KB)
Explicit investment setting in a Kaldor macroeconomic model with macro shock
Zhenzhen Wang, Zhenghui Li, Shuanglian Chen and Zhehao Huang
doi: 10.3934/dcdss.2020093 +[Abstract](656) +[HTML](396) +[PDF](742.17KB)
A linear optimal feedback control for producing 1, 3-propanediol via microbial fermentation
Honghan Bei, Lei Wang, Yanping Ma, Jing Sun and Liwei Zhang
2019doi: 10.3934/dcdss.2020095 +[Abstract](484) +[HTML](289) +[PDF](337.66KB)
Optimization model and solution method for dynamically correlated two-product newsvendor problems based on Copula
Songhai Deng, Zhong Wan and Yanjiu Zhou
2019doi: 10.3934/dcdss.2020096 +[Abstract](425) +[HTML](273) +[PDF](467.04KB)
A multi-stage method for joint pricing and inventory model with promotion constrains
Li Deng, Wenjie Bi, Haiying Liu and Kok Lay Teo
2019doi: 10.3934/dcdss.2020097 +[Abstract](547) +[HTML](347) +[PDF](520.17KB)
Time-scaling transformation for optimal control problem with time-varying delay
Di Wu, Yanqin Bai and Fusheng Xie
2019doi: 10.3934/dcdss.2020098 +[Abstract](522) +[HTML](279) +[PDF](302.74KB)
Time-delay optimal control of a fed-batch production involving multiple feeds
Chongyang Liu and Meijia Han
2019doi: 10.3934/dcdss.2020099 +[Abstract](480) +[HTML](265) +[PDF](277.3KB)
Optimal control of hybrid manufacturing systems by log-exponential smoothing aggregation
Kobamelo Mashaba, Jianxing Li, Honglei Xu and Xinhua Jiang
2019doi: 10.3934/dcdss.2020100 +[Abstract](427) +[HTML](245) +[PDF](264.24KB)
Earth pressure field modeling for tunnel face stability evaluation of EPB shield machines based on optimization solution
Yi An, Zhuohan Li, Changzhi Wu, Huosheng Hu, Cheng Shao and Bo Li
2019doi: 10.3934/dcdss.2020101 +[Abstract](500) +[HTML](291) +[PDF](2924.49KB)
Penalty method-based equilibrium point approach for solving the linear bilevel multiobjective programming problem
Yibing Lv, Tiesong Hu and Jianlin Jiang
2019doi: 10.3934/dcdss.2020102 +[Abstract](527) +[HTML](266) +[PDF](265.31KB)
An alternating minimization method for matrix completion problems
Yuan Shen and Xin Liu
2019doi: 10.3934/dcdss.2020103 +[Abstract](625) +[HTML](286) +[PDF](446.9KB)
A new iterative identification method for damping control of power system in multi-interference
Miao Yu, Haoyang Lu and Weipeng Shang
2019doi: 10.3934/dcdss.2020104 +[Abstract](477) +[HTML](262) +[PDF](597.13KB)
On evolution quasi-variational inequalities and implicit state-dependent sweeping processes
Samir Adly and Tahar Haddad
2019doi: 10.3934/dcdss.2020105 +[Abstract](581) +[HTML](293) +[PDF](286.85KB)
Stabilization of a discrete-time system via nonlinear impulsive control
Shaohong Fang, Jing Huang and Jinying Ma
2019doi: 10.3934/dcdss.2020106 +[Abstract](470) +[HTML](273) +[PDF](290.05KB)
An optimal pid tuning method for a single-link manipulator based on the control parametrization technique
Bin Li, Xiaolong Guo, Xiaodong Zeng, Songyi Dian and Minhua Guo
2019doi: 10.3934/dcdss.2020107 +[Abstract](553) +[HTML](271) +[PDF](377.23KB)
A time-scaling technique for time-delay switched systems
Linna Li, Changjun Yu, Ning Zhang, Yanqin Bai and Zhiyuan Gao
2019doi: 10.3934/dcdss.2020108 +[Abstract](560) +[HTML](317) +[PDF](375.2KB)
An efficient adjoint computational method based on lifted IRK integrator and exact penalty function for optimal control problems involving continuous inequality constraints
Canghua Jiang, Zhiqiang Guo, Xin Li, Hai Wang and Ming Yu
2019doi: 10.3934/dcdss.2020109 +[Abstract](538) +[HTML](288) +[PDF](422.28KB)
Design of green bonds by double-barrier options
Shuhua Zhang, Zhuo Yang and Song Wang
2019doi: 10.3934/dcdss.2020110 +[Abstract](516) +[HTML](295) +[PDF](474.31KB)
Fractional Ostrowski-Sugeno Fuzzy univariate inequalities
George A. Anastassiou
2019doi: 10.3934/dcdss.2020111 +[Abstract](268) +[HTML](166) +[PDF](268.45KB)
A Zaremba-type criterion for hypoelliptic degenerate Ornstein–Uhlenbeck operators
Alessia E. Kogoj
2019doi: 10.3934/dcdss.2020112 +[Abstract](283) +[HTML](173) +[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](364) +[HTML](241) +[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](369) +[HTML](186) +[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](294) +[HTML](187) +[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](302) +[HTML](172) +[PDF](2891.13KB)
Dynamical stabilization and traveling waves in integrodifference equations
Adèle Bourgeois, Victor LeBlanc and Frithjof Lutscher
2019doi: 10.3934/dcdss.2020117 +[Abstract](321) +[HTML](195) +[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](306) +[HTML](163) +[PDF](453.16KB)
Minimum energy compensation for discrete delayed systems with disturbances
Salma Souhaile and Larbi Afifi
2019doi: 10.3934/dcdss.2020119 +[Abstract](297) +[HTML](173) +[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](461) +[HTML](249) +[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](326) +[HTML](178) +[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](321) +[HTML](167) +[PDF](289.93KB)
Wave-propagation in an incompressible hollow elastic cylinder with residual stress
Moniba Shams
2019doi: 10.3934/dcdss.2020123 +[Abstract](349) +[HTML](165) +[PDF](497.24KB)
Modified bidomain model with passive periodic heterogeneities
Yves Coudière, Anđela Davidović and Clair Poignard
2019doi: 10.3934/dcdss.2020126 +[Abstract](429) +[HTML](242) +[PDF](833.13KB)
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](287) +[HTML](150) +[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](285) +[HTML](152) +[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](332) +[HTML](159) +[PDF](301.58KB)
Bogdanov-Takens bifurcation in predator-prey systems
Bing Zeng, Shengfu Deng and Pei Yu
2019doi: 10.3934/dcdss.2020130 +[Abstract](459) +[HTML](165) +[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](347) +[HTML](179) +[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](350) +[HTML](171) +[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](309) +[HTML](185) +[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](269) +[HTML](159) +[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](261) +[HTML](156) +[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](343) +[HTML](225) +[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](339) +[HTML](154) +[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](318) +[HTML](253) +[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](385) +[HTML](192) +[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](447) +[HTML](166) +[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](317) +[HTML](171) +[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](509) +[HTML](219) +[PDF](1471.91KB)
A priori estimates for elliptic problems via Liouville type theorems
Laura Baldelli and Roberta Filippucci
2019doi: 10.3934/dcdss.2020148 +[Abstract](358) +[HTML](157) +[PDF](321.26KB)
Evolution fractional differential problems with impulses and nonlocal conditions
Irene Benedetti, Valeri Obukhovskii and Valentina Taddei
2019doi: 10.3934/dcdss.2020149 +[Abstract](309) +[HTML](157) +[PDF](399.62KB)
Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions
Alberto Boscaggin, Francesca Colasuonno and Benedetta Noris
2019doi: 10.3934/dcdss.2020150 +[Abstract](321) +[HTML](153) +[PDF](466.69KB)
Positive solutions for some generalized $ p $–Laplacian type problems
Anna Maria Candela and Addolorata Salvatore
2019doi: 10.3934/dcdss.2020151 +[Abstract](273) +[HTML](158) +[PDF](338.54KB)
Existence theorems for generalized nonlinear quadratic integral equations via a new fixed point result
Tiziana Cardinali and Paola Rubbioni
2019doi: 10.3934/dcdss.2020152 +[Abstract](350) +[HTML](149) +[PDF](265.37KB)
Remarks on mean curvature flow solitons in warped products
Giulio Colombo, Luciano Mari and Marco Rigoli
2019doi: 10.3934/dcdss.2020153 +[Abstract](390) +[HTML](151) +[PDF](483.01KB)
Schrödinger–Kirchhoff–Hardy $ p $–fractional equations without the Ambrosetti–Rabinowitz condition
Alessio Fiscella
2019doi: 10.3934/dcdss.2020154 +[Abstract](317) +[HTML](158) +[PDF](395.87KB)
Regularity under general and $ p,q- $ growth conditions
Paolo Marcellini
2019doi: 10.3934/dcdss.2020155 +[Abstract](340) +[HTML](191) +[PDF](425.6KB)
On the lifespan of classical solutions to a non-local porous medium problem with nonlinear boundary conditions
Monica Marras, Nicola Pintus and Giuseppe Viglialoro
2019doi: 10.3934/dcdss.2020156 +[Abstract](280) +[HTML](139) +[PDF](526.23KB)
A note on a class of 4th order hyperbolic problems with weak and strong damping and superlinear source term
Monica Marras and Stella Vernier-Piro
2019doi: 10.3934/dcdss.2020157 +[Abstract](256) +[HTML](154) +[PDF](272.77KB)
Combined effects for non-autonomous singular biharmonic problems
Vicenţiu D. Rădulescu and Dušan D. Repovš
2019doi: 10.3934/dcdss.2020158 +[Abstract](285) +[HTML](170) +[PDF](344.38KB)
Variational analysis for nonlocal Yamabe-type systems
Mingqi Xiang, Giovanni Molica Bisci and Binlin Zhang
2019doi: 10.3934/dcdss.2020159 +[Abstract](291) +[HTML](175) +[PDF](424.08KB)
Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy
Qiang Lin, Xueteng Tian, Runzhang Xu and Meina Zhang
2019doi: 10.3934/dcdss.2020160 +[Abstract](401) +[HTML](192) +[PDF](372.0KB)
Global solutions of continuous coagulation–fragmentation equations with unbounded coefficients
Jacek Banasiak
2019doi: 10.3934/dcdss.2020161 +[Abstract](223) +[HTML](139) +[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](276) +[HTML](163) +[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](357) +[HTML](237) +[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](256) +[HTML](137) +[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](368) +[HTML](171) +[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](305) +[HTML](163) +[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](267) +[HTML](190) +[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](332) +[HTML](166) +[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](243) +[HTML](141) +[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](241) +[HTML](140) +[PDF](423.72KB)
Prey-predator model with nonlocal and global consumption in the prey dynamics
Malay Banerjee, Nayana Mukherjee and Vitaly Volpert
2019doi: 10.3934/dcdss.2020180 +[Abstract](391) +[HTML](158) +[PDF](767.05KB)
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
2019doi: 10.3934/dcdss.2020181 +[Abstract](360) +[HTML](183) +[PDF](1573.64KB)
The stability analysis of brain lactate kinetics
Jean-Pierre Françoise and Hongjun Ji
2019doi: 10.3934/dcdss.2020182 +[Abstract](239) +[HTML](143) +[PDF](297.21KB)
Gevrey solutions of singularly perturbed differential equations, an extension to the non-autonomous case
Lucile Mégret and Jacques Demongeot
2019doi: 10.3934/dcdss.2020183 +[Abstract](301) +[HTML](164) +[PDF](363.42KB)
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
2019doi: 10.3934/dcdss.2020184 +[Abstract](338) +[HTML](287) +[PDF](2905.32KB)
Paradoxes of vulnerability to predation in biological dynamics and mediate versus immediate causality
Evariste Sanchez-Palencia and Philippe Lherminier
2019doi: 10.3934/dcdss.2020185 +[Abstract](245) +[HTML](154) +[PDF](507.74KB)
Global-in-time Gevrey regularity solutions for the functionalized Cahn-Hilliard equation
Kelong Cheng, Cheng Wang, Steven M. Wise and Zixia Yuan
2019doi: 10.3934/dcdss.2020186 +[Abstract](305) +[HTML](264) +[PDF](360.91KB)
Fractional Cauchy problems and applications
Mohammed AL Horani, Mauro Fabrizio, Angelo Favini and Hiroki Tanabe
2019doi: 10.3934/dcdss.2020187 +[Abstract](275) +[HTML](150) +[PDF](337.31KB)
Well-posedness of a one-dimensional nonlinear kinematic hardening model
David Melching and Ulisse Stefanelli
2019doi: 10.3934/dcdss.2020188 +[Abstract](271) +[HTML](180) +[PDF](289.04KB)
Polarization dynamics in a resonant optical medium with initial coherence between degenerate states
Katherine A. Newhall, Gregor Kovačič and Ildar Gabitov
2019doi: 10.3934/dcdss.2020189 +[Abstract](249) +[HTML](153) +[PDF](570.06KB)
How interest rate influences a business cycle model
Qigang Yuan, Yutong Sun and Jingli Ren
2019doi: 10.3934/dcdss.2020190 +[Abstract](271) +[HTML](145) +[PDF](2451.82KB)
Rich dynamics in some generalized difference equations
Xiujuan Wang and Mingshu Peng
2019doi: 10.3934/dcdss.2020191 +[Abstract](236) +[HTML](130) +[PDF](4886.95KB)
A nutrient-prey-predator model: Stability and bifurcations
Mary Ballyk, Ross Staffeldt and Ibrahim Jawarneh
2019doi: 10.3934/dcdss.2020192 +[Abstract](292) +[HTML](129) +[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](271) +[HTML](139) +[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](235) +[HTML](176) +[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](261) +[HTML](172) +[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](270) +[HTML](170) +[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](291) +[HTML](134) +[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](222) +[HTML](145) +[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](572) +[HTML](139) +[PDF](503.83KB)
Lagrangian dynamics by nonlocal constants of motion
Gianluca Gorni and Gaetano Zampieri
2019doi: 10.3934/dcdss.2020216 +[Abstract](183) +[HTML](128) +[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](295) +[HTML](149) +[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](221) +[HTML](155) +[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](219) +[HTML](133) +[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](236) +[HTML](126) +[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](319) +[HTML](174) +[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](278) +[HTML](127) +[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](288) +[HTML](160) +[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](386) +[HTML](140) +[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](236) +[HTML](148) +[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](266) +[HTML](131) +[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](235) +[HTML](138) +[PDF](8678.87KB)
Spatio-temporal coexistence in the cross-diffusion competition system
Hirofumi Izuhara and Shunsuke Kobayashi
2019doi: 10.3934/dcdss.2020228 +[Abstract](300) +[HTML](129) +[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](235) +[HTML](130) +[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](664) +[HTML](160) +[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](271) +[HTML](147) +[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](238) +[HTML](129) +[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](270) +[HTML](167) +[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](306) +[HTML](127) +[PDF](1848.1KB)
The inverse volatility problem for American options
Ian Knowles and Ajay Mahato
2020doi: 10.3934/dcdss.2020235 +[Abstract](186) +[HTML](106) +[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](188) +[HTML](110) +[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](198) +[HTML](121) +[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](179) +[HTML](101) +[PDF](340.15KB)
On hyperbolic mixed problems with dynamic and Wentzell boundary conditions
Davide Guidetti
2020doi: 10.3934/dcdss.2020239 +[Abstract](180) +[HTML](108) +[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](163) +[HTML](111) +[PDF](362.15KB)
Existence of minimizers for some quasilinear elliptic problems
Anna Maria Candela and Addolorata Salvatore
2020doi: 10.3934/dcdss.2020241 +[Abstract](181) +[HTML](108) +[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](177) +[HTML](104) +[PDF](479.93KB)
On absence of threshold resonances for Schrödinger and Dirac operators
Fritz Gesztesy and Roger Nichols
2020doi: 10.3934/dcdss.2020243 +[Abstract](192) +[HTML](119) +[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](144) +[HTML](108) +[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, , Quinn A. Morris and Byungjae Son
2020doi: 10.3934/dcdss.2020245 +[Abstract](207) +[HTML](125) +[PDF](1634.53KB)
Feynman path formula for the time fractional Schrödinger equation
Hassan Emamirad and Arnaud Rougirel
2020doi: 10.3934/dcdss.2020246 +[Abstract](150) +[HTML](109) +[PDF](458.92KB)
Large data solutions for semilinear higher order equations
Sandra Lucente
2020doi: 10.3934/dcdss.2020247 +[Abstract](173) +[HTML](106) +[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](190) +[HTML](116) +[PDF](349.51KB)
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](170) +[HTML](90) +[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](149) +[HTML](79) +[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](241) +[HTML](91) +[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](106) +[HTML](55) +[PDF](423.16KB)
Optimal laminates in single-slip elastoplasticity
Sergio Conti and Georg Dolzmann
2020doi: 10.3934/dcdss.2020302 +[Abstract](98) +[HTML](75) +[PDF](407.27KB)
Cahn-Hilliard equation with capillarity in actual deforming configurations
Tomáš Roubíček
2020doi: 10.3934/dcdss.2020303 +[Abstract](101) +[HTML](51) +[PDF](349.92KB)
Rate-independent evolution of sets
Riccarda Rossi, Ulisse Stefanelli and Marita Thomas
2020doi: 10.3934/dcdss.2020304 +[Abstract](120) +[HTML](69) +[PDF](596.09KB)
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](3062) +[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](3609) +[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](3013) +[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](2743) +[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](2500) +[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](2970) +[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](3333) +[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](2784) +[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](2574) +[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](3441) +[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](2824) +[HTML](1363) +[PDF](306.74KB) PDF Downloads(760)
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](1836) +[HTML](635) +[PDF](664.49KB) PDF Downloads(471)
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](4858) +[HTML](434) +[PDF](1679.39KB) PDF Downloads(379)
Stabilization in a chemotaxis model for virus infection
Nicola Bellomo and Youshan Tao
2020, 13(2) : 105-117 doi: 10.3934/dcdss.2020006 +[Abstract](1837) +[HTML](831) +[PDF](354.23KB) PDF Downloads(361)
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](1575) +[HTML](974) +[PDF](2481.32KB) PDF Downloads(360)
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](5457) +[HTML](388) +[PDF](418.1KB) PDF Downloads(356)
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](2186) +[HTML](799) +[PDF](399.15KB) PDF Downloads(323)
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](1602) +[HTML](691) +[PDF](860.14KB) PDF Downloads(310)
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](1736) +[HTML](861) +[PDF](608.6KB) PDF Downloads(309)
Exact solutions of nonlinear partial differential equations
Barbara Abraham-Shrauner
2018, 11(4) : 577-582 doi: 10.3934/dcdss.2018032 +[Abstract](5449) +[HTML](600) +[PDF](284.25KB) PDF Downloads(300)

2018  Impact Factor: 0.545

Editors/Guest Editors

Referees

Librarians

Call for special issues

Email Alert

[Back to Top]