Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
12121872 | Nonlinear Analysis: Theory, Methods & Applications | 2019 | 15 Pages |
Abstract
Existence of travelling waves is studied for a bistable reaction-diffusion system of equations with linear integral terms (dispersion) and with some conditions on the nonlinearity. The proof is based on the Leray-Schauder method using the topological degree theory for Fredholm and proper operators with the zero index and a priori estimates of solutions in properly chosen weighted spaces.
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Authors
M. Sen, V. Volpert, V. Vougalter,