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Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis

  • Published:2023-08 Issue: Volume:364 Page:667-713
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Hou LinglingORCID,Kokubu Hiroshi,Marciniak-Czochra Anna,Takagi IzumiORCID

Funder

Renmin University of China

China Scholarship Council

Kyoto University

Tohoku University

Deutsche Forschungsgemeinschaft

Japan Society for the Promotion of Science

Heidelberg University

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference32 articles.

1. Nonlinear Diffusion in Population Genetics, Combustion, and Nerve Propagation;Aronson,1975

2. A geometric approach to singular perturbation problems with applications to nerve impulse equations;Carpenter;J. Differ. Equ.,1977

3. Fast pulses with oscillatory tails in the FitzHugh-Nagumo system;Carter;SIAM J. Math. Anal.,2015

4. Stability of traveling pulse with oscillatory tails in the FitzHugh-Nagumo system;Carter;J. Nonlinear Sci.,2016

5. The approach of solutions of nonlinear diffusion equations to travelling front solutions;Fife;Arch. Ration. Mech. Anal.,1977

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