摘要
本文利用渐近方程和对角化技巧研究了伴有边界摄动的非线性系统边值问题的奇摄动。在适当的假设下,证得摄动问题解的存在性并导出其解关于ε的高阶近似。
In this paper we consider the singular perturbation of boundary value problem of nonlinear systems with boundary perturbation by using asymptotic method and diagonolization technique. Under appropriate assumptions we proved existence of solution of perturbation problem and derived higher order approximation of its solution with respect to ε.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
1989年第4期1-8,共8页
Journal of Fujian Normal University：Natural Science Edition
基金
福建省和国家自然科学基金
关键词
非线性系统
边界摄动
存在性
解
nonlinear systems, boundary perturbation, asymptotic method, diagonalization technique, existence theorem, higher approximation
