Singular perturbation of general boundary value problem for nonlinear differential equation system

被引：0

作者：

Yali Z. ^{[1
,2
]}

Zhefeng Y. ^{[1
]}

Lin Zongchi ^{[1
]}

机构：

[1] Quanzhou Liming Occupation University

[2] Mathematics Department, Fujian Normal University

来源：

Applied Mathematics and Mechanics | 1998年 / 19卷 / 6期

关键词：

Asymptotic expansion; Nonlinear boundary condition; Nonlinear system; Singular perturbation;

D O I：

10.1007/BF02453408

中图分类号：

学科分类号：

摘要：

In this paper, the singular perturbation of nonlinear differential equation xyxiem with nonlinear boundary conditions is discussed. Under suitable assumption, wiili the asymptotic method of Lyusternik-Vishik[1] and fixed point theory, the existence of the solution of the perturbation problem is proved and its uniformly valid asymptotic expansion of higher order is derived.

引用

页码：531 / 538

页数：7

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