Electron. J. Diff. Equ., Vol. 2016 (2016), No. 185, pp. 1-14.

Existence of traveling wavefronts for integrodifference equations with bilateral exponential kernel

Huaqin Peng, Zhiming Guo, Zizi Wang

Abstract:
In this article, we study the existence of traveling wavefronts for integrodifference equation with a bilateral exponential kernel, namely, the Laplacian kernel. The existence of traveling wavefronts is proved by combining the monotone iteration technique with the upper and lower solution method. The minimal spreading speed c* is given, which can be figured out exactly when all parameters are given explicitly

Submitted October 15, 2015. Published July 12, 2016.
Math Subject Classifications: 35C07, 39A12.
Key Words: Integrodifference equation; traveling wavefronts; upper and lower solutions

Show me the PDF file (250 KB), TEX file for this article.

Huaqin Peng
School of Mathematics and Information Science
Guangzhou University, Guangzhou 510006, China
email: huaqinpeng@126.com
Zizi Wang
Key Laboratory of Mathematics and Interdisciplinary Science of Guangdong
Higher Education Institutes, Guangzhou University
Guangzhou 510006, China
email: gdwangzizi@163.com
Zhiming Guo
Key Laboratory of Mathematics and Interdisciplinary Science of Guangdong
Higher Education Institutes, Guangzhou University
Guangzhou 510006, China
email: guozm@gzhu.edu.cn

Return to the EJDE web page