Yixin Liu, Zhixian Yu, Jing Xia
Abstract:
This article concerns the exponential stability of non-critical
traveling waves (the wave speed is greater than the minimum speed)
for non-monotone time-delayed reaction-diffusion equations.
With the help of the weighted energy method, we prove that the non-critical
travelling waves are exponentially stable when the initial perturbation
around the wave is small.
Submitted July 20, 2015. Published March 29, 2016.
Math Subject Classifications: 35C07, 92D25, 35B35.
Key Words: Stability; non-monotone; weighted energy method.
Show me the PDF file (258 KB), TEX file, and other files for this article.
 |
Yixin Liu College of Science University of Shanghai for Science and Technology Shanghai, 200093, China email: 838080693@qq.com |
|---|---|
 |
Zhixian Yu College of Science University of Shanghai for Science and Technology Shanghai, 200093, China email: zxyu@usst.edu.cn, zxyu0902@163.com |
 |
Jing Xia Department of Fundamental Courses Academy of Armored Force Engineering Beijing 100072, China email: xiajingcjh@163.com |
Return to the EJDE web page