摘要
本文研究高维拟线性积分微分方程系统边值问题的奇摄动,在适当的条件下,利 用渐近分析方法和对角化技巧,证得解的存在性,同时给出解的渐近展开式及其相应的 余项估计.
In this paper the singular perturbation of boundary value problem for system of higher dimensional semilinear integro-differential equations has been considered . Under appropriate assumptions by using the asymptotic analysis method and the diagonalization technique, the existence of solution has been proved and asymptotic expansion of the solution and the estimation of the corresponding remainder term are given as well.
出处
《系统科学与数学》
CSCD
北大核心
2003年第1期128-135,共8页
Journal of Systems Science and Mathematical Sciences
关键词
积分微分方程系统
边值问题
奇异摄动
对角化技巧
Integra-differential equations system, boundary value problem, singular per- turbation.
