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- W2616504803 abstract "In this paper, we mainly discuss the existence and asymptotic stability of traveling fronts for the nonlocal evolution equations. With the monostable assumption, we obtain that there exists a constant begin{document}$c^*>0$end{document} , such that the equation has no traveling fronts for begin{document}$0 and a traveling front for each c ≥ c*. For begin{document}$c>c^*$end{document} , we will further show that the traveling front is globally asymptotic stable and is unique up to translation. If we applied to some differential equations or integro-differential equations, our results recover and/or complement a number of existing ones." @default.
- W2616504803 created "2017-05-26" @default.
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- W2616504803 date "2017-01-01" @default.
- W2616504803 modified "2023-10-17" @default.
- W2616504803 title "Existence and asymptotic stability of traveling fronts for nonlocal monostable evolution equations" @default.
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- W2616504803 doi "https://doi.org/10.3934/dcdsb.2017160" @default.
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