On the asymptotic solutions of boundary value problems for a class of systems of nonlinear differential equations (I)

被引：1
|
作者：
Jiang, FR [1 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2001年 / 22卷 / 03期
关键词：
system of nonlinear differential equations; boundary value problems; asymptotic solution;
D O I：
10.1023/A:1015554303215
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new method is applied to study the asymptotic behavior of solutions of boundary value problems for a class of systems of nonlinear differential equations u" = nu, epsilon nu" + f(x, u, u')nu' - g(x, u, u') nu = 0 (0 < epsilon much less than 1). The asymptotic expansions of solutions are constructed, the remainders are estimated. The former works are improved and generalized.
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页码：282 / 293
页数：12
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