Uniqueness of traveling waves for nonlocal lattice equations
Uniqueness of traveling waves for nonlocal lattice equations
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DOI：
10.1090/s0002-9939-2010-10540-3
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发表时间：
2011-04
期刊：
影响因子：
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通讯作者：
Jian Fang;Junjie Wei;Xiao-Qiang Zhao
中科院分区：
文献类型：
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作者：
Jian Fang;Junjie Wei;Xiao-Qiang Zhao
我们建立了具有时滞的非局部格点方程行波解的唯一性（直到平移）。我们的方法是基于精确的先验渐近的波剖面。这是通过建立一类线性积分微分方程整体解的结构定理来实现的。
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.