THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM

doi:10.1016/S0252-9602(08)60051-X

数学物理学报(英文版)

THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM

莫嘉琪; 王辉; 林万涛

安徽师范大学数学系, 芜湖 241000

收稿日期:2006-07-15 修回日期:1900-01-01 出版日期:2008-07-20 发布日期:2008-07-20
通讯作者: 莫嘉琪
基金资助:
Supported by the NNSF of China (40676016 and 10471039), the National Key Project for Basic Research (2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221) and in part
by E-Institutes of Shanghai Municipal Education Commission (E03004)

THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM

Mo Jiaqi; Wang Hui; Lin Wantao

1.Department of Mathemtics, Anhui Normal University, Wuhu 241000, China;
2.Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China;
3.Department of Mathematics, Huzhou Teachers' College, Huzhou 313000, China

Received:2006-07-15 Revised:1900-01-01 Online:2008-07-20 Published:2008-07-20
Contact: Mo Jiaqi

摘要/Abstract

摘要：

The solvability for a class of singularly perturbed Robin problem of quasi-linear differential system is considered. Using the boundary layer corrective method the formal asymptotic solution is constructed. And using the theory of differential inequality the uniform validity of the asymptotic expansions for solution is proved.

关键词: Solvability, singular perturbation, differential system, boundary layer

Abstract:

Key words: Solvability, singular perturbation, differential system, boundary layer

中图分类号:

34E15

莫嘉琪; 王辉; 林万涛. THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM[J]. 数学物理学报(英文版), 2008, 28(3): 495-500.

Mo Jiaqi; Wang Hui; Lin Wantao. THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM[J]. Acta mathematica scientia,Series B, 2008, 28(3): 495-500.

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THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM

THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM

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