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 ψ(n - ct) with c ≤ c_*, where c_* < 0 is the critical wave speed.