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.
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页码：531 / 538
页数：7
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