应用数学2016，Vol.29Issue(2)：359-369,11.
具有时滞的时间离散反应扩散系统行波解的存在性
Existence of Traveling Wave Solutions in Temporally Discrete Reaction Diffusion Systems with Delays
摘要
Abstract
In this paper,we investigate the existence of traveling wave solutions for a temporally discrete reaction-diffusion system with delays by using upper-lower solution methods and a cross iteration scheme.The obtained result will be applied to the time discrete competition system {lun(x)-un-1(x) =d1(6)x2/(6)2un(x) + r1un(x)[1-a1un(x)-b1un-τ1 (x)-c1vn-τ2(x)],vn(x)-vn-1(x) =d2(6)x2/(6)2vn(x) + τ2vn(x)[1-a2vn(x)-b2vn-τ3(x)-c2un-τ4 (x)]The existence of traveling waves is reduced to look for a suitable upper-lower solutions.The result in present paper extends some known results.关键词
反应扩散系统/行波解/时滞/时间离散/上下解Key words
Reaction-diffusion system/Traveling wave solution/Time delay/Temporally discrete/Upper-lower solution分类
数理科学引用本文复制引用
边乾坤,张卫国,余志先..具有时滞的时间离散反应扩散系统行波解的存在性[J].应用数学,2016,29(2):359-369,11.基金项目
国家自然科学基金项目(11071164,11101282,11271260),上海市教委科研创新项目(13Z-Z118,14YZ096),上海市一流学科(系统科学)资助项目(XTKX2012),沪江基金(B14005) （11071164,11101282,11271260）
