一类强非线性奇摄动边值问题

数学季刊 ›› 2003, Vol. 18 ›› Issue (2): 117-120.

一类强非线性奇摄动边值问题

Department of Mathematics, Huzhou Teacher' s College, Huzhou 313000, China

收稿日期:2001-04-24 出版日期:2003-06-30 发布日期:2024-04-15
作者简介:TANG Rong rong(1950-),female,native of Jiaxing,Zhejang,an associate profesor of Huzhou Teacher's College,engages in differential equation.
基金资助:
Supported by the Natural Sience Foundation of Zheiang Province(102009);Supported by the Natural Foundation of Huzhou Teacher's College(200302)

A Class of Strongly Nonlinear Singular Perturbed Boundary Value Problems

Department of Mathematics, Huzhou Teacher' s College, Huzhou 313000, China

Received:2001-04-24 Online:2003-06-30 Published:2024-04-15
About author:TANG Rong rong(1950-),female,native of Jiaxing,Zhejang,an associate profesor of Huzhou Teacher's College,engages in differential equation.
Supported by:
Supported by the Natural Sience Foundation of Zheiang Province(102009);Supported by the Natural Foundation of Huzhou Teacher's College(200302)

摘要/Abstract

摘要： In this paper,a class of strongly nonlinear singular perturbed boundary value problems are considered by the theory of differential inequalities and the correction of boundary layer,under which the existence of solution is proved and the uniformly valid asymptotic expansions is obtained as well.

关键词: nonlinear equation, singular perturbation, boundary value problem, differential inequality

Abstract: In this paper,a class of strongly nonlinear singular perturbed boundary value problems are considered by the theory of differential inequalities and the correction of boundary layer,under which the existence of solution is proved and the uniformly valid asymptotic expansions is obtained as well.

Key words: nonlinear equation, singular perturbation, boundary value problem, differential inequality

中图分类号:

O175.14

唐荣荣. 一类强非线性奇摄动边值问题[J]. 数学季刊, 2003, 18(2): 117-120.

TANG Rong-rong. A Class of Strongly Nonlinear Singular Perturbed Boundary Value Problems[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2): 117-120.

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