Singularly perturbed boundary value problems for a class of second order turning point on infinite interval

被引：0

作者：

Lu, Hai-bo ^{[1
]}

Ni, Ming-kang ^{[1
,2
]}

Wu, Li-meng ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Chinese Acad Sci, Inst Psychol, State Key Lab Brain & Cognit Sci, Beijing 100101, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2012年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

singular perturbation; asymptotic expansion; turning point; infinite interval; ACKERBERG-OMALLEY RESONANCE; LAYER PROBLEM;

D O I：

10.1007/s10255-012-0164-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article solved the asymptotic solution of a singularly perturbed boundary value problem with second order turning point, encountered in the dissipative equilibrium vector field of the coupled convection disturbance kinetic equations under the constrained filed and the gravity. Using the matching of asymptotic expansions, the formal asymptotic solution is constructed. By using the theory of differential inequality the uniform validity of the asymptotic expansion for the solution is proved.

引用

页码：485 / 494

页数：10

共 15 条

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