Uniqueness of traveling waves for nonlocal lattice equations

2010/12/20 by Jian Fang, Junjie Wei, Xiao-Qiang Zhao +1 · 3 citations
Engineering · Mathematics · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems #Differential Equations and Numerical Methods

paper · pdf · doi:10.1090/s0002-9939-2010-10540-3

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.

Cited by

• Wave propagation in a two-dimensional lattice dynamical system with global interaction
• On uniqueness of semi-wavefronts
• Propagation of Delayed Lattice Differential Equations without Local Quasimonotonicity

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