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

下载

页码：485 / 494

页数：10

共 50 条

[11] BOUNDARY VALUE PROBLEMS TO A CLASS OF SINGULARLY PERTURBED NONLINEAR SYSTEM WITH TURNING POINTS
莫嘉琪
Annals of Applied Mathematics, 1999, (03) : 314 - 318
[12] BOUNDARY VALUE PROBLEMS FOR SECOND ORDER SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS
周钦德
苗树梅
Applied Mathematics and Mechanics(English Edition), 1988, (01) : 95 - 99
[13] On the asymptotics of solutions of boundary value problems for singularly perturbed linear systems on an infinite interval
Panfilov, N. G.
Konyaev, Yu. A.
DIFFERENTIAL EQUATIONS, 2006, 42 (08) : 1207 - 1208
[14] On the asymptotics of solutions of boundary value problems for singularly perturbed linear systems on an infinite interval
N. G. Panfilov
Yu. A. Konyaev
Differential Equations, 2006, 42 : 1207 - 1208
[15] Accelerated Fitted Mesh Scheme for Singularly Perturbed Turning Point Boundary Value Problems
Bullo, Tesfaye Aga
JOURNAL OF MATHEMATICS, 2022, 2022
[16] Singularly perturbed second order semilinear boundary value problems with interface conditions
Lin, Hongxu
Xie, Feng
BOUNDARY VALUE PROBLEMS, 2015,
[17] Singularly perturbed second order semilinear boundary value problems with interface conditions
Hongxu Lin
Feng Xie
Boundary Value Problems, 2015
[18] On boundary value problems for a class of singularly perturbed equations of arbitrary odd order
Salimov, YS
Sabzalieva, IM
DIFFERENTIAL EQUATIONS, 2006, 42 (05) : 698 - 704
[19] On boundary value problems for a class of singularly perturbed equations of arbitrary odd order
Ya. Sh. Salimov
I. M. Sabzalieva
Differential Equations, 2006, 42 : 698 - 704
[20] Nonmonotone　Interior　Layer　Solutions　for　Singularly　Perturbed　Semilinear　Boundary　Value　Problems　with　a　Turning　Point
魏宝社
周钦德
Communications in Mathematical Research, 1996, (02) : 127 - 135

← 1 2 3 4 5 →