文章基本信息

标题：Traveling wave solutions for a neutral reaction–diffusion equation with non-monotone reaction
本地全文：下载
作者：Yubin Liu
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-21
DOI：10.1186/s13662-019-2256-4
出版社：Hindawi Publishing Corporation
摘要：In the present paper, we firstly improve the results on traveling wave solution that were established in (Liu and Weng in J. Differ. Equ. 258:3688–3741, 2015) for a neutral reaction–diffusion equation with quasi-monotone reaction. Secondly, by constructing two auxiliary equations and using Schauder’s Fixed Point Theorem, we further establish the existence and the asymptotic properties of the traveling wave solution for the equation with non-monotone reaction. Two examples are also given as the application of our results.
关键词：35K57;35Q99;34K40;Neutral reaction;diffusion equation;Traveling wave solution;Schauder’s Fixed Point Theorem;Auxiliary equations