A generalized quasilinearization method for telegraph system

被引：2

作者：

Wang, Fanglei ^{[1
]}

An, Yukun ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 01期

关键词：

Telegraph system; Doubly periodic solution; Maximum principle; Upper and lower solutions; Quasilinearization method; MAXIMUM-PRINCIPLES; PERIODIC-SOLUTIONS; BOUNDED SOLUTIONS; EQUATIONS;

D O I：

10.1016/j.nonrwa.2008.11.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we build a maximum principle for the doubly periodic solutions of telegraph system. And the generalized quasi linearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of a coupled telegraph system with doubly periodic boundary condition. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：407 / 413

页数：7

共 17 条

[1] AHMAD B, 2002, ELECT J DIFFERENTIAL, V90, P1
[2] Maximum principles for a coupled system of second and fourth order elliptic equations and an application
An, YK
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 161 (01) : 121 - 127
[3] [Anonymous], 1985, NONLINEAR FUNCTIONAL
[4] BELLAMAN R, 1965, QUASILINEARISATION O
[5] On maximum principles for cooperative elliptic systems via fixed point index
Correa, FJSA
Souto, MAS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (05) : 997 - 1006
[6] GEBEILY ME, 2007, NONLINEAR ANAL-REAL, V8, P636
[7] IMPROVED GENERALIZED QUASI-LINEARIZATION (GQL) METHOD
LAKSHMIKANTHAM, V
LEELA, S
MCRAE, FA
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 24 (11) : 1627 - 1637
[8] AN EXTENSION OF THE METHOD OF QUASI-LINEARIZATION
LAKSHMIKANTHAM, V
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 82 (02) : 315 - 321
[9] Methods of generalized quasilinearization for periodic boundary value problems
Lakshmikantham, V
Shahzad, N
Nieto, JJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 27 (02) : 143 - 151
[10] Lakshmikantham V., 1996, NONLINEAR ANAL, V27, P315

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