一类非线性快慢系统非局部问题的摄动解  

Perturbation solution of a class of nonlinear slow-fast system nonlocal problem

作　　者：卫丽娟[1] 王晓云[1,2] 

机构地区：[1]中北大学数学系,山西太原030051 [2]山西警官高等专科学校,山西太原030021

出　　处：《纯粹数学与应用数学》2012年第1期129-136,共8页Pure and Applied Mathematics

基　　金：山西省自然科学基金(2011011002-1);中国博士后特别资助基金(201104653)

摘　　要：主要讨论了一类非线性快慢系统非局部问题的摄动解,在适当的条件下,根据不同边界层利用伸长变量和幂级数展开理论,构造了问题的形式渐近解,并利用微分不等式理论在整个区间上证明了形式渐近解的一致有效性,把奇摄动问题的摄动解推广到快慢系统非局部问题的摄动解.A class of nonlinear speed system perturbed solution nonlocal problem is discussed in this paper. Under suitable conditions, according to different boundary layer and using stretchy variable and power series launched theory, the asymptotic expansions of solution of this problem is shown and proved to be uniformly effective using the theory of differential inequality in the whole interval. This paper extends the perturbed solution of singularly perturbed problems to nonlinear slow-fast system nonlocal problem.

关 键 词：快慢系统 非局部问题 渐近展开式 微分不等式 

分 类 号：O175.14[理学—数学]