Existence and exponential stability of traveling waves for delayed reaction-diffusion systems

Cheng Hsiung Hsu, Tzi Sheng Yang, Zhixian Yu

研究成果: 雜誌貢獻期刊論文同行評審

14 引文 斯高帕斯(Scopus)

摘要

The purpose of this work is to investigate the existence and exponential stability of traveling wave solutions for general delayed multi-component reaction-diffusion systems. Following the monotone iteration scheme via an explicit construction of a pair of upper and lower solutions, we first obtain the existence of monostable traveling wave solutions connecting two different equilibria. Then, applying the techniques of weighted energy method and comparison principle, we show that all solutions of the Cauchy problem for the considered systems converge exponentially to traveling wave solutions provided that the initial perturbations around the traveling wave fronts belong to a suitable weighted Sobolev space.

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頁(從 - 到)838-863
頁數26
期刊Nonlinearity
31
發行號3
DOIs
出版狀態已出版 - 7 2月 2018

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