Article ID Journal Published Year Pages File Type
4609871 Journal of Differential Equations 2015 33 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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