Exact asymptotic behavior of pulsating traveling waves for a periodic monostable lattice dynamical system

Shi Liang Wu, Guang Sheng Chen, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

摘要

This paper is concerned with the pulsating traveling waves of a periodic lattice dynamical system with monostable nonlinearity. We first establish the exponential upper and lower bounds of the pulsating wave profiles at minus infinity. Then we prove the uniqueness result and derive the asymptotic behavior of all non-critical monostable pulsating traveling waves. This might be the first time to obtain the exact asymptotic behavior of the pulsating traveling waves for periodic discrete systems towards the unstable steady state.

原文???core.languages.en_GB???
頁(從 - 到)1697-1710
頁數14
期刊Proceedings of the American Mathematical Society
149
發行號4
DOIs
出版狀態已出版 - 4月 2021

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