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

Abstract

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.

Keywords

• Cellular neural network
• uniqueness
• non-monotone
• asymptotic behavior
• distributed delays