摘要
本文利用渐近方程和对用化技巧研究了伴有边界振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。的高队近似。
In this paper we consider the singular perturbation of boundary value problem of nonlinear systems with boundary perturbation by using aspoptotic method and diagonolization technique. Under appropriate assumptions we proved the existence of solution of perturbation problem and derived higher order approximation of its solution with respect to E.
出处
《闽江学院学报》
1998年第1期6-10,共5页
Journal of Minjiang University
关键词
非线性系统
边界摄动
渐近方法
对角化技巧
存在定理
高阶近似
nonlinear systems, boundary perturbation, asymptotic method, diagono-lization technique, existence theorem, higher approximalion
