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Response of equilibrium states to spatial environmental heterogeneity in advective systems
1.  Department of Ecology, Evolution and Marine Biology, University of California at Santa Barbara, CA 931069610, United States 
2.  Department of Biological Sciences, University of Calgary, Calgary, Alberta, Canada, T2N 1N4, Canada, Canada 
3.  Department of Mathematical and Statistical Sciences, and Department of Biological Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada 
[1] 
Narcisa Apreutesei, Arnaud Ducrot, Vitaly Volpert. Travelling waves for integrodifferential equations in population dynamics. Discrete & Continuous Dynamical Systems  B, 2009, 11 (3) : 541561. doi: 10.3934/dcdsb.2009.11.541 
[2] 
Olivier Bonnefon, Jérôme Coville, Jimmy Garnier, Lionel Roques. Inside dynamics of solutions of integrodifferential equations. Discrete & Continuous Dynamical Systems  B, 2014, 19 (10) : 30573085. doi: 10.3934/dcdsb.2014.19.3057 
[3] 
Walter Allegretto, John R. Cannon, Yanping Lin. A parabolic integrodifferential equation arising from thermoelastic contact. Discrete & Continuous Dynamical Systems, 1997, 3 (2) : 217234. doi: 10.3934/dcds.1997.3.217 
[4] 
Narcisa Apreutesei, Nikolai Bessonov, Vitaly Volpert, Vitali Vougalter. Spatial structures and generalized travelling waves for an integrodifferential equation. Discrete & Continuous Dynamical Systems  B, 2010, 13 (3) : 537557. doi: 10.3934/dcdsb.2010.13.537 
[5] 
Shihchung Chiang. Numerical optimal unbounded control with a singular integrodifferential equation as a constraint. Conference Publications, 2013, 2013 (special) : 129137. doi: 10.3934/proc.2013.2013.129 
[6] 
Frederic Abergel, Remi Tachet. A nonlinear partial integrodifferential equation from mathematical finance. Discrete & Continuous Dynamical Systems, 2010, 27 (3) : 907917. doi: 10.3934/dcds.2010.27.907 
[7] 
Samir K. Bhowmik, Dugald B. Duncan, Michael Grinfeld, Gabriel J. Lord. Finite to infinite steady state solutions, bifurcations of an integrodifferential equation. Discrete & Continuous Dynamical Systems  B, 2011, 16 (1) : 5771. doi: 10.3934/dcdsb.2011.16.57 
[8] 
Michel Chipot, Senoussi Guesmia. On a class of integrodifferential problems. Communications on Pure & Applied Analysis, 2010, 9 (5) : 12491262. doi: 10.3934/cpaa.2010.9.1249 
[9] 
Nestor Guillen, Russell W. Schwab. Neumann homogenization via integrodifferential operators. Discrete & Continuous Dynamical Systems, 2016, 36 (7) : 36773703. doi: 10.3934/dcds.2016.36.3677 
[10] 
Paola Loreti, Daniela Sforza. Observability of $N$dimensional integrodifferential systems. Discrete & Continuous Dynamical Systems  S, 2016, 9 (3) : 745757. doi: 10.3934/dcdss.2016026 
[11] 
Giuseppe Maria Coclite, Mario Michele Coclite. Positive solutions of an integrodifferential equation in all space with singular nonlinear term. Discrete & Continuous Dynamical Systems, 2008, 22 (4) : 885907. doi: 10.3934/dcds.2008.22.885 
[12] 
Miloud Moussai. Application of the bernstein polynomials for solving the nonlinear fractional type Volterra integrodifferential equation with caputo fractional derivatives. Numerical Algebra, Control & Optimization, 2021 doi: 10.3934/naco.2021021 
[13] 
Hai Huang, Xianlong Fu. Optimal control problems for a neutral integrodifferential system with infinite delay. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020107 
[14] 
JeanMichel Roquejoffre, JuanLuis Vázquez. Ignition and propagation in an integrodifferential model for spherical flames. Discrete & Continuous Dynamical Systems  B, 2002, 2 (3) : 379387. doi: 10.3934/dcdsb.2002.2.379 
[15] 
Tomás Caraballo, P.E. Kloeden. Nonautonomous attractors for integrodifferential evolution equations. Discrete & Continuous Dynamical Systems  S, 2009, 2 (1) : 1736. doi: 10.3934/dcdss.2009.2.17 
[16] 
Ji Shu, Linyan Li, Xin Huang, Jian Zhang. Limiting behavior of fractional stochastic integroDifferential equations on unbounded domains. Mathematical Control & Related Fields, 2020 doi: 10.3934/mcrf.2020044 
[17] 
Liang Zhang, Bingtuan Li. Traveling wave solutions in an integrodifferential competition model. Discrete & Continuous Dynamical Systems  B, 2012, 17 (1) : 417428. doi: 10.3934/dcdsb.2012.17.417 
[18] 
Yi Cao, Jianhua Wu, Lihe Wang. Fundamental solutions of a class of homogeneous integrodifferential elliptic equations. Discrete & Continuous Dynamical Systems, 2019, 39 (3) : 12371256. doi: 10.3934/dcds.2019053 
[19] 
Yubo Chen, Wan Zhuang. The extreme solutions of PBVP for integrodifferential equations with caratheodory functions. Conference Publications, 1998, 1998 (Special) : 160166. doi: 10.3934/proc.1998.1998.160 
[20] 
Martin Bohner, Osman Tunç. Qualitative analysis of integrodifferential equations with variable retardation. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021059 
2018 Impact Factor: 1.313
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