Abstract
We study the existence of traveling wave solutions for reaction-diffusion equations with nonlocal delay, where reaction terms are not necessarily monotone. The existence of traveling wave solutions for reaction-diffusion equations with nonlocal delays is obtained by combining upper and lower solutions for associated integral equations and the Schauder fixed point theorem. The smoothness of upper and lower solutions is not required in this paper.
Original language | English (US) |
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Pages (from-to) | 887-905 |
Number of pages | 19 |
Journal | Journal of Differential Equations |
Volume | 247 |
Issue number | 3 |
DOIs | |
State | Published - Aug 1 2009 |
Keywords
- Delay
- Schauder fixed point theorem
- Traveling waves
ASJC Scopus subject areas
- Analysis
- Applied Mathematics