Uniqueness of traveling waves for nonlocal lattice equations

Jian Fang; Junjie Wei; Xiao Qiang Zhao

doi:10.1090/S0002-9939-2010-10540-3

Uniqueness of traveling waves for nonlocal lattice equations

Jian Fang^*
, Junjie Wei
, Xiao Qiang Zhao

^*Corresponding author for this work

School of Mathematics

Memorial University of Newfoundland
Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We establish the uniqueness (up to translation) of traveling waves for a nonlocal lattice equation with time delay. Our approach is based on exact a priori asymptotics of the wave profiles. This we accomplish by developing a structure theorem of entire solutions to a class of linear integro-differential equations.

Original language	English
Pages (from-to)	1361-1373
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	139
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-2010-10540-3
State	Published - Apr 2011

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title = "Uniqueness of traveling waves for nonlocal lattice equations",

abstract = "We establish the uniqueness (up to translation) of traveling waves for a nonlocal lattice equation with time delay. Our approach is based on exact a priori asymptotics of the wave profiles. This we accomplish by developing a structure theorem of entire solutions to a class of linear integro-differential equations.",

author = "Jian Fang and Junjie Wei and Zhao, \{Xiao Qiang\}",

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AU - Wei, Junjie

AU - Zhao, Xiao Qiang

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AB - We establish the uniqueness (up to translation) of traveling waves for a nonlocal lattice equation with time delay. Our approach is based on exact a priori asymptotics of the wave profiles. This we accomplish by developing a structure theorem of entire solutions to a class of linear integro-differential equations.

UR - https://www.scopus.com/pages/publications/79951847473

U2 - 10.1090/S0002-9939-2010-10540-3

DO - 10.1090/S0002-9939-2010-10540-3

M3 - 文章

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EP - 1373

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

Uniqueness of traveling waves for nonlocal lattice equations

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