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

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

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 s...

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Veröffentlicht in:Electronic journal of differential equations 2017-04, Vol.2017 (102), p.1-13
Hauptverfasser: Hui-Ling Zhou, Zhixian Yu
Format: Artikel
Sprache:eng
Schlagworte:
asymptotic behavior
Cellular neural network
distributed delays
non-monotone
uniqueness
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Zusammenfassung: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_*
ISSN:1072-6691