Monotone iterative technique for singular perturbation problem

被引：0

作者：

Kamar, ARA ^{[1
]}

机构：

[1] Univ Mansoura, Fac Engn, Dept Math & Phys Sci, Mansoura, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 131卷 / 2-3期

关键词：

upper and lower solutions; monotone iterative technique; singular perturbation problem;

D O I：

10.1016/S0096-3003(01)00169-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend the monotone iterative technique to the singular perturbation problem. We construct, under suitable conditions, monotone sequences of lower and upper approximate solutions which converge uniformly and monotonically to the coupled minimal and maximal solutions of the singular perturbation problem. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：559 / 571

页数：13

共 50 条

[1] Monotone iterative technique for degenerate singular perturbation problem
Kamar, ARA
[J]. SECOND INTERNATIONAL CONFERENCE ON NONLINEAR PROBLEMS IN AVIATION & AEROSPACE VOL 1 AND 2, 1999, : 1 - 8
[2] MONOTONE APPROXIMATIONS FOR SINGULAR PERTURBATION PROBLEM
TABATA, M
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (09): : 495 - 497
[3] Monotone　Iterative　Technique　for　Boundary　Value　Problem　of　Second　Order　Singular　Differential　System
WANG Wei
LIU Yongqing(Dept.of Automation
[J]. Journal of Systems Science and Systems Engineering, 1995, (03) : 266 - 272
[4] Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations
Mu, Jia
[J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
[5] HIGHER-ORDER MONOTONE SCHEMES FOR A NONLINEAR SINGULAR PERTURBATION PROBLEM
VULANOVIC, R
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1988, 68 (05): : T428 - T430
[6] Iterative solution of a singular convection-diffusion perturbation problem
Pomeranz, S
Lewis, G
Constanda, C
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2005, 56 (05): : 890 - 907
[7] Iterative solution of a singular convection-diffusion perturbation problem
Shirley Pomeranz
Gilbert Lewis
Christian Constanda
[J]. Zeitschrift für angewandte Mathematik und Physik ZAMP, 2005, 56 : 890 - 907
[8] Singular perturbation approach to an elastic dry friction problem with non-monotone coefficient
Renard, Y
[J]. QUARTERLY OF APPLIED MATHEMATICS, 2000, 58 (02) : 303 - 324
[9] An abstract monotone iterative technique
Nieto, JJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (12) : 1923 - 1933
[10] A SINGULAR PERTURBATION PROBLEM
CHOW, YS
GRENANDER, U
[J]. JOURNAL OF INTEGRAL EQUATIONS, 1985, 9 (01): : 63 - 73

← 1 2 3 4 5 →