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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.