Contrast structure for singular singularly perturbed boundary value problem

被引：0

作者：

王爱峰 ^{[1
]}

倪明康 ^{[2
]}

机构：

[1] School of Mathematical Science,Huaiyin Normal University

[2] Department of Mathematics,East China Normal University

来源：

Applied Mathematics and Mechanics(English Edition) | 2014年 / 35卷 / 05期

关键词：

contrast structure; singular singularly perturbation; asymptotic expansion; boundary function;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal asymptotic expansion is constructed. At the same time, based on sewing orbit smooth, the existence of the steptype solution and the uniform validity of the asymptotic expansion are proved. Finally,an example is given to demonstrate the effectiveness of the present results.

引用

页码：655 / 666

页数：12

共 6 条

[1]

On higher-dimensional contrast structure of singularly perturbed Dirichlet problem[J]. NI MingKang 1,2 & WANG ZhiMing 1 1 Department of Mathematics,East China Normal University,Shanghai 200241,China;2 E-Institutes of Shanghai Universities at Shanghai Jiao Tong University,Shanghai 200240,China. Science China(Mathematics). 2012(03)

[2] 二阶非线性奇摄动方程脉冲状空间对照结构 [J].

王爱峰 ;

倪明康 .

数学物理学报, 2009, 29 (01) :208-216

[3] A SINGULAR SINGULARLY-PERTURBED BOUNDARY VALUE PROBLEM [J].

林武忠，汪志鸣 .

ANNALS OF DIFFERENTIAL EQUATIONS, 1996, (01) :70-82

[4] Representation of pulse modes of generalized solutions of control differential systems [J].

Gurman, V. I. ;

Kan', Ni Min' .

DIFFERENTIAL EQUATIONS, 2008, 44 (05) :609-617

[5] Fitted mesh B-spline method for solving a class of singular singularly perturbed boundary value problems [J].

Kadalbajoo, MK ;

Aggarwal, VK .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (01) :67-76

[6] The Dirichlet problem for a singular singularly perturbed quasilinear second order differential system [J].

Zhu, HP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 210 (01) :308-336

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