Uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays
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Date
2017-04-11
Authors
Zhou, Hui-Ling
Yu, Zhixian
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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<sub>*</sub>, where c<sub>*</sub> < 0 is the critical wave speed.
Description
Keywords
Cellular neural network, Uniqueness, Non-monotone, Asymptotic behavior, Distributed delays
Citation
Zhou, H. L., & Yu, Z. (2017). Uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays. <i>Electronic Journal of Differential Equations, 2017</i>(102), pp. 1-13.
Rights
Attribution 4.0 International