Uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays

oleh: Hui-Ling Zhou, Zhixian Yu

Format: Article
Diterbitkan: Texas State University 2017-04-01

Deskripsi

In this article, we study the uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays. First we establish a priori asymptotic behavior of the traveling wave solutions at infinity. Then, based on Ikehara's theorem, we prove the uniqueness of the solution $\psi(n-ct)$ with $c\leq c_*$, where $c_*<0$ is the critical wave speed.