SINGULARLY PERTURBED SEMI-LINEAR BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS FUNCTION

被引：0

作者：

Ding Haiyun ^{[1
,2
]}

Ni Mingkang ^{[1
,3
]}

Lin Wuzhong ^{[1
,3
]}

Cao Yang ^{[4
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] Shanghai Maritime Univ, Dept Math, Shanghai 200135, Peoples R China

[3] Shanghai Jiao Tong Univ, Div Computat Sci, E Inst, Shanghai 200030, Peoples R China

[4] Shanghai Inst Technol, Sch Econ & Management, Shanghai 201418, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Singular perturbation; asymptotic expansion; boundary Layer function; invariant manifold;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is given and shown to be uniformly effective. The existence and uniqueness of the solution for the system is also proved. Numerical result is presented as an illustration to the theoretical result.

引用

页码：793 / 799

页数：7

共 6 条

[1] [Anonymous], 1991, TOPICS MATRIX ANAL, DOI DOI 10.1017/CBO9780511840371
[2] Farrell PA, 2000, ANALYTICAL AND NUMERICAL METHODS FOR CONVECTION-DOMINATED AND SINGULARLY PERTURBED PROBLEMS, P23
[3] THE ASYMPTOTIC SOLUTION OF A CLASS OF 3RD-ORDER BOUNDARY-VALUE-PROBLEMS ARISING IN THE THEORY OF THIN-FILM FLOWS
HOWES, FA
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1983, 43 (05) : 993 - 1004
[4] Vasileva A. B., 1973, Asymptotic Expansions of Solutions to Singularly Perturbed Equations
[5] Vasileva A.B., 1995, The Boundary Func- tion Method for Singular Perturbation Problems
[6] [No title captured]

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