文献详情
New methods for the existence and uniqueness of traveling waves of non-monotone integro-difference equations with applications
文献类型：期刊
通讯作者：Pan, YL (reprint author), Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China.
期刊名称：JOURNAL OF DIFFERENTIAL EQUATIONS影响因子和分区
年：2020
卷：268
期：10
页码：6319-6349
ISSN：0022-0396
关键词：Traveling wave; Uniqueness; Non-monotonicity; Integro-difference equation
所属部门：数学科学研究院
摘要：A class of non-monotone integro-difference equations are investigated. It is shown that the spreading speed coincides with the minimal wave speed, as well as the uniqueness of traveling waves up to translations. Our methods are different from those in [7,12] and rely on the priori estimate of the decay speed of wave profile and allow (i) to deal with the iterative map without compactness; (ii) to incorporate the critical case which corresponds to the slowest wavefronts into consideration; (iii) ...More
A class of non-monotone integro-difference equations are investigated. It is shown that the spreading speed coincides with the minimal wave speed, as well as the uniqueness of traveling waves up to translations. Our methods are different from those in [7,12] and rely on the priori estimate of the decay speed of wave profile and allow (i) to deal with the iterative map without compactness; (ii) to incorporate the critical case which corresponds to the slowest wavefronts into consideration; (iii) to weaken or to remove various restrictions on kernels and nonlinearities. Finally, these results are applied to some population models. (C) 2019 Elsevier Inc. All rights reserved. ...Hide

DOI：10.1016/j.jde.2019.11.030
百度学术：New methods for the existence and uniqueness of traveling waves of non-monotone integro-difference equations with applications
语言：外文
人气指数：2
浏览次数：2
基金：NSF of ChinaNational Natural Science Foundation of China [11771108, 11671110]; NSF of Heilongjiang Province of China [LC2017002]
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