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非线性系统边值问题的奇摄动
引用本文:黄建吾.非线性系统边值问题的奇摄动[J].闽江学院学报,1998(1).
作者姓名:黄建吾
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。

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

Singular Perturbation of Boundary Value Problem of Nonlinear Syslcms
Huang Jianwu.Singular Perturbation of Boundary Value Problem of Nonlinear Syslcms[J].Journal of Minjiang University,1998(1).
Authors:Huang Jianwu
Institution:Huang Jianwu
Abstract: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.
Keywords:nonlinear systems  boundary perturbation  asymptotic method  diagono-lization technique  existence theorem  higher approximalion
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