Stability of traveling wave solutions for nonlinear cellular neural networks with distributed delays

Cheng Hsiung Hsu, Jian Jhong Lin

研究成果: 雜誌貢獻期刊論文同行評審

9 引文 斯高帕斯(Scopus)

摘要

The purpose of this paper is to study the stability of traveling wave solutions for nonlinear cellular neural networks (CNN) with distributed delays. First, we establish two kinds of comparison theorems for the Cauchy problem of the CNN model. With the help of the comparison theorems, we can show that all solutions of the Cauchy problem for the CNN model converge exponentially to the traveling wave solutions when the initial perturbations around the traveling wave solutions belonging to suitable weighted spaces.

原文???core.languages.en_GB???
頁(從 - 到)388-400
頁數13
期刊Journal of Mathematical Analysis and Applications
470
發行號1
DOIs
出版狀態已出版 - 1 2月 2019

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