Monostable waves in a class of non-local convolution differential equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:462

Article

Xu, Zhaoquan¹  Wu, Chufen² 

[1] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China

[2] Foshan Univ, Dept Math, Foshan 528000, Peoples R China

关键词: Convolution differential equation;    Monostable structure;    Traveling wave solution;   

DOI  :  10.1016/j.jmaa.2018.02.036

来源: Elsevier

【 摘 要 】

The current paper is devoted to the study of wave propagation dynamics for a class of convolution equation with monostable structure. It is shown that this equation admits traveling wave solution connecting the zero steady state, even when the non-linear term of this equation is without monotonicity. A sufficient condition for the traveling wave solution that converges to the positive steady state is also established. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free