Global asymptotic stability of pushed traveling fronts for monostable delayed reaction-diffusion equations

Shi Liang Wu, Tong Chang Niu, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

8 引文 斯高帕斯(Scopus)

摘要

In this work we consider the global asymptotic stability of pushed traveling fronts for one-dimensional monostable reaction-diffusion equations with monotone delayed reactions. Pushed traveling front is a special type of critical wave front which converges to zero more rapidly than the near non- critical wave fronts. Recently, Trofimchuk et al. [16] proved the existence and uniqueness of pushed traveling fronts of the considered equation when the re-action term lost the sub-tangency condition. In this article, using the comparison method via a pair of super- and sub-solution and squeezing technique, we prove that the pushed traveling fronts are globally exponentially stable. This also gives an affirmative answer to an open problem presented by Solar and Trofimchuk [14].

原文???core.languages.en_GB???
頁(從 - 到)3467-3486
頁數20
期刊Discrete and Continuous Dynamical Systems- Series A
37
發行號6
DOIs
出版狀態已出版 - 2017

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