Global existence of solutions for a class of nonlinear differential equations

被引：5

作者：

Mustafa, OG ^{[1
]}

Rogovchenko, YV

机构：

[1] Eastern Mediterranean Univ Famagusta, Dept Math, TRNC, Mersin 10, Turkey

[2] Univ Craiova, Ctr Nonlinear Anal, Craiova, Romania

来源：

APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 05期

关键词：

global existence; generalized Lienard system; Lyapunov-type function; comparison method;

D O I：

10.1016/S0893-9659(03)00078-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By making use of a special Lyapunov-type function and applying the comparison method due to Conti, we prove global existence of solutions for a general class of nonlinear second-order differential equations that includes, in particular, van der Pol, Rayleigh, and Lienard equations, widely encountered in applications. Relevant examples are discussed. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：753 / 758

页数：6

共 6 条

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[3] CONTI R, 1956, B UNIONE MAT ITAL, V11, P344
[4] Kartsatos A., 1980, Advanced ordinary differential equations
[5] Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations
Mustafa, OG
Rogovchenko, YV
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (02) : 339 - 368
[6] Souplet P, 1995, ASYMPTOTIC ANAL, V11, P185

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