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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.


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Special issue dedicated to SFBT 2017
Alain Miranville
2020, 13(8) : i-i doi: 10.3934/dcdss.2020179 +[Abstract](259) +[HTML](95) +[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](642) +[HTML](257) +[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](603) +[HTML](286) +[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](391) +[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](483) +[HTML](244) +[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](463) +[HTML](370) +[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](370) +[HTML](232) +[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](471) +[HTML](351) +[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](553) +[HTML](321) +[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](419) +[HTML](221) +[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](420) +[HTML](265) +[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](375) +[HTML](225) +[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](839) +[HTML](430) +[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](781) +[HTML](478) +[PDF](766.45KB)
Fractional Ostrowski-Sugeno Fuzzy univariate inequalities
George A. Anastassiou
2019doi: 10.3934/dcdss.2020111 +[Abstract](374) +[HTML](225) +[PDF](268.45KB)
A Zaremba-type criterion for hypoelliptic degenerate Ornstein–Uhlenbeck operators
Alessia E. Kogoj
2019doi: 10.3934/dcdss.2020112 +[Abstract](367) +[HTML](237) +[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](503) +[HTML](307) +[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](488) +[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](416) +[HTML](255) +[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](411) +[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](439) +[HTML](257) +[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](421) +[HTML](224) +[PDF](453.16KB)
Minimum energy compensation for discrete delayed systems with disturbances
Salma Souhaile and Larbi Afifi
2019doi: 10.3934/dcdss.2020119 +[Abstract](390) +[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](579) +[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](434) +[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](441) +[HTML](233) +[PDF](289.93KB)
Wave-propagation in an incompressible hollow elastic cylinder with residual stress
Moniba Shams
2019doi: 10.3934/dcdss.2020123 +[Abstract](464) +[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](378) +[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](387) +[HTML](212) +[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](455) +[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](645) +[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](463) +[HTML](249) +[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](513) +[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](398) +[HTML](245) +[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](362) +[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](361) +[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](469) +[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](437) +[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](328) +[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](516) +[HTML](266) +[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](426) +[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](707) +[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](553) +[HTML](332) +[PDF](558.45KB)
Global solutions of continuous coagulation–fragmentation equations with unbounded coefficients
Jacek Banasiak
2019doi: 10.3934/dcdss.2020161 +[Abstract](311) +[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](381) +[HTML](230) +[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](470) +[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](356) +[HTML](201) +[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](504) +[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](434) +[HTML](223) +[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](396) +[HTML](261) +[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](463) +[HTML](238) +[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](367) +[HTML](209) +[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](356) +[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](423) +[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](368) +[HTML](199) +[PDF](3352.88KB)
How interest rate influences a business cycle model
Qigang Yuan, Yutong Sun and Jingli Ren
2019doi: 10.3934/dcdss.2020190 +[Abstract](384) +[HTML](210) +[PDF](2451.82KB)
Rich dynamics in some generalized difference equations
Xiujuan Wang and Mingshu Peng
2019doi: 10.3934/dcdss.2020191 +[Abstract](329) +[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](418) +[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](379) +[HTML](202) +[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](340) +[HTML](249) +[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](364) +[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](383) +[HTML](238) +[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](425) +[HTML](200) +[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](334) +[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](726) +[HTML](215) +[PDF](503.83KB)
Lagrangian dynamics by nonlocal constants of motion
Gianluca Gorni and Gaetano Zampieri
2019doi: 10.3934/dcdss.2020216 +[Abstract](283) +[HTML](190) +[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](410) +[HTML](240) +[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](312) +[HTML](219) +[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](340) +[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](350) +[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](448) +[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](405) +[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](409) +[HTML](236) +[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](535) +[HTML](207) +[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](352) +[HTML](216) +[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](367) +[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](338) +[HTML](216) +[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](190) +[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](334) +[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](810) +[HTML](228) +[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](371) +[HTML](213) +[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](338) +[HTML](192) +[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](400) +[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](432) +[HTML](195) +[PDF](1848.1KB)
The inverse volatility problem for American options
Ian Knowles and Ajay Mahato
2020doi: 10.3934/dcdss.2020235 +[Abstract](299) +[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](300) +[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](308) +[HTML](198) +[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](278) +[HTML](170) +[PDF](340.15KB)
On hyperbolic mixed problems with dynamic and Wentzell boundary conditions
Davide Guidetti
2020doi: 10.3934/dcdss.2020239 +[Abstract](276) +[HTML](177) +[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](261) +[HTML](180) +[PDF](362.15KB)
Existence of minimizers for some quasilinear elliptic problems
Anna Maria Candela and Addolorata Salvatore
2020doi: 10.3934/dcdss.2020241 +[Abstract](288) +[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](293) +[HTML](178) +[PDF](479.93KB)
On absence of threshold resonances for Schrödinger and Dirac operators
Fritz Gesztesy and Roger Nichols
2020doi: 10.3934/dcdss.2020243 +[Abstract](296) +[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](245) +[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](336) +[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](256) +[HTML](174) +[PDF](458.92KB)
Large data solutions for semilinear higher order equations
Sandra Lucente
2020doi: 10.3934/dcdss.2020247 +[Abstract](276) +[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](293) +[HTML](185) +[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](328) +[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](304) +[HTML](171) +[PDF](1720.53KB)
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