SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS

被引：0

作者：

谢峰

机构：

来源：

Annals of Differential Equations | 2002年 / 04期

基金：

中国国家自然科学基金;

关键词：

two parameters; singular perturbation; nonlinear differential equation; boundary value problem;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

In this paper, a class of singular perturbation of boundary value problem for nonlinear second order ordinary differential equation involving two parameters is considered. For the three cases ε/μ→0(μ→0), μ2/ε→0(ε→0) and ε=μ2, uniformly valid asymptotic solutions are obtained using the method of two steps expansions and a fixed-point theorem.

引用

页码：392 / 402

页数：11

共 50 条

[1] SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR A THIRD ORDER ORDINARY DIFFERENTIAL EQUATION WITH TWO SMALL PARAMETERS
倪守平
周哲彦
Annals of Differential Equations, 1999, (02) : 173 - 182
[2] SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR NONLINEAR HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS
Lin Surong (Dept. of Computer
Annals of Differential Equations, 2006, (04) : 517 - 523
[3] BOUNDARY VALUE PROBLEMS FOR SECOND ORDER SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS
周钦德
苗树梅
Applied Mathematics and Mechanics(English Edition), 1988, (01) : 95 - 99
[4] SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS HAVING WEAKLY DISCONTINUOUS REDUCED SOLUTIONS
赵为礼
ActaMathematicaScientia, 1988, (03) : 239 - 248
[5] Asymptotic initial value methods for two-parameter singularly perturbed boundary value problems for second order ordinary differential equations
Valanarasu, T
Ramanujam, N
APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (2-3) : 549 - 570
[6] An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations
Valanarasu, T
Ramanujam, N
APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) : 227 - 240
[7] SECOND BOUNDARY VALUE PROBLEM FOR NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
从福仲
Annals of Differential Equations, 1999, (02) : 107 - 112
[8] SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR QUASILINEAR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS
林苏榕
田根宝
林宗池
AppliedMathematicsandMechanics(EnglishEdition), 2001, (02) : 229 - 236
[9] Singular perturbation of boundary value problem for quasilinear third-order ordinary differential equations involving two small parameters
Lin, SR
Tian, GB
Lin, ZC
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (02) : 229 - 236
[10] Singular perturbation of boundary value problem for quasilinear third-order ordinary differential equations involving two small parameters
Su-rong L.
Gen-bao T.
Zong-chi L.
Applied Mathematics and Mechanics, 2001, 22 (2) : 229 - 236

← 1 2 3 4 5 →