Traveling wave solutions for a neutral reaction-diffusion equation with non-monotone reaction

被引：0
作者：
Liu, Yubin [1 ]
机构：
[1] Huizhou Univ, Math & Big Data Coll, Huizhou, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期
关键词：
Neutral reaction-diffusion equation; Traveling wave solution; Schauder's Fixed Point Theorem; Auxiliary equations; FUNCTIONAL-DIFFERENTIAL EQUATIONS; SPREADING SPEEDS; ASYMPTOTIC-BEHAVIOR; DISTRIBUTED DELAY; EXISTENCE; MODEL; STABILITY; FRONTS; REGULARITY;
D O I：
10.1186/s13662-019-2256-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页数：21
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