Traveling Wave Solutions for Integro-Difference Systems
Dynamical Systems
2014-02-19 v3 Classical Analysis and ODEs
Abstract
This paper is concerned with the traveling wave solutions for integro-difference systems of higher order. By using Schauder fixed point theorem, the existence of traveling wave solutions is reduced to the existence of generalized upper and lower solutions. Then the asymptotic behavior of traveling wave solutions is studied by the idea of contracting rectangles. To illustrate our results, the traveling wave solutions of three systems are considered, which completes some known results.
Keywords
Cite
@article{arxiv.1305.4031,
title = {Traveling Wave Solutions for Integro-Difference Systems},
author = {Guo Lin},
journal= {arXiv preprint arXiv:1305.4031},
year = {2014}
}
Comments
33 pages