A periodic boundary value problem with vanishing Green's function

被引：47

作者：

Graef, John R. ^{[1
]}

Kong, Lin ^{[1
]}

Wang, Haiyan ^{[2
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] Arizona State Univ, Dept Math Sci & Appl Comp, Phoenix, AZ 85069 USA

来源：

APPLIED MATHEMATICS LETTERS | 2008年 / 21卷 / 02期

关键词：

existence of nonnegative solutions; Krasnosel'skii's theorem; periodic boundary value problem; vanishing Green's function; 2ND-ORDER DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; SYSTEMS;

D O I：

10.1016/j.aml.2007.02.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the authors consider the boundary value problem [GRAPHICS] and establish the existence of nonnegative solutions in the case where the associated Green's function may have zeros. The results are illustrated with an example. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：176 / 180

页数：5

共 10 条

[1]

[Anonymous], 1964, Positive Solutions of Operator Equations

[2] On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions [J].

Atici, FM ;

Guseinov, GS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 132 (02) :341-356

[3] ON THE EXISTENCE OF POSITIVE SOLUTIONS OF ORDINARY DIFFERENTIAL-EQUATIONS [J].

ERBE, LH ;

WANG, HY .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) :743-748

[4]

GUO DJ, 1988, NONLINEAR PROBLEMS

[5] Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces [J].

Jiang, DQ ;

Chu, JF ;

O'Regan, D ;

Agarwal, RP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (02) :563-576

[6]

JIANG DQ, 1998, ACTA MATH SCI, V18, P31

[7] Positive periodic solutions of systems of second order ordinary differential equations [J].

O'Regan, Donal ;

Wang, Haiyan .

POSITIVITY, 2006, 10 (02) :285-298

[8] Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem [J].

Torres, PJ .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 190 (02) :643-662

[9] On the number of positive solutions of nonlinear systems [J].

Wang, HY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (01) :287-306

[10] On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations [J].

Zhang, ZX ;

Wang, JY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (01) :99-107

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