摘要
该文考虑了一类具有非局部时滞反应项的空间非局部扩散模型,主要研究其波前解的渐近稳定性及收敛率.通过构造加权函数,建立了相关线性方程的比较原理,证明了当初始扰动在加权最大范数意义下一致有界,满足初值问题的解将依时间指数收敛到波前解,而且得到其指数收敛率.
A spatially nonlocal diffusion model with a class of delayed nonlocal responses was considered. The asymptotic stability and the convergence rate of the traveling wavefronts were mainly studied. Through construction of weighted functions and establishment of a comparison principle for the related linear equations, the conclusion that if the initial function is within a bounded distance from a certain traveling wavefront with respect to a weighted maximum norm, the solution satisfying the initial value will converge to the traveling wavefront exponentially in time, was proved, and the exponential convergence rate was also obtained.
作者
李盼晓
LI Panxiao(School of Mathematics and Statistics,Xidian University,Xi＇an 710071,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2018年第11期1300-1312,共13页
Applied Mathematics and Mechanics
基金
国家自然科学基金(11671315)~~
关键词
行波解
非局部时滞
稳定性
traveling wave solution
nonlocal time delay
stability
