一类具有时滞的非局部反应扩散方程非单调临界行波解的全局稳定性

数学物理学报 ›› 2020, Vol. 40 ›› Issue (4): 983-992.

一类具有时滞的非局部反应扩散方程非单调临界行波解的全局稳定性

周永辉()

^{河西学院数学与统计学院甘肃张掖 734000}

收稿日期:2018-11-30 出版日期:2020-08-26 发布日期:2020-08-20
作者简介:周永辉, E-mail:2823877618@qq.com
基金资助:
河西学院青年基金(QN2018008)

Global Stability of the Nonmonotone Critical Traveling Waves for Reaction Diffusion Equations

Yonghui Zhou()

^{School of Mathematics and Statistics, Hexi University, Gansu Zhangye 734000}

Received:2018-11-30 Online:2020-08-26 Published:2020-08-20
Supported by:
the Youth Fund of Hexi University(QN2018008)

摘要/Abstract

摘要：

该文利用傅里叶变换方法结合加权能量方法中的一些新的技巧，研究了一类具有时滞的非局部反应扩散方程非单调临界波速下行波解的全局稳定性.

关键词: 傅里叶变换方法, 加权能量方法, 全局稳定性

Abstract:

In this paper, by using the Fourier's transform method combining with the weighted energy method with some new skills, the global stability of the nonmonotone critical traveling waves for a delayed equation is established.

Key words: Fourier's transform method, Weighted energy method, Global stability

中图分类号:

O175

周永辉. 一类具有时滞的非局部反应扩散方程非单调临界行波解的全局稳定性[J]. 数学物理学报, 2020, 40(4): 983-992.

Yonghui Zhou. Global Stability of the Nonmonotone Critical Traveling Waves for Reaction Diffusion Equations[J]. Acta mathematica scientia,Series A, 2020, 40(4): 983-992.

参考文献 16

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