Positive solutions for a three-point boundary value problem at resonance

被引：67

作者：

Han, Xiaoling ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 01期

关键词：

three-point boundary value problem; fixed point theorem; positive solution; resonance;

D O I：

10.1016/j.jmaa.2007.02.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the second order three-point boundary value problem x"(t) = f(t,x(t)), t epsilon (0,1), x'(0) = 0, x(eta) = x(l). The existence and multiplicity of positive solutions are investigated by means of the fixed point theorem in cones. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：556 / 568

页数：13

共 13 条

[1]

[Anonymous], ELECT J DIFF EQNS

[2] Solvability of three point boundary value problems at resonance [J].

Feng, W ;

Webb, JRL .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (06) :3227-3238

[3]

Guo D., 1988, NONLINEAR PROBLEMS A

[4] SOLVABILITY OF A 3-POINT NONLINEAR BOUNDARY-VALUE PROBLEM FOR A 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATION [J].

GUPTA, CP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 168 (02) :540-551

[5]

GUPTA CP, 1995, RESULTS MATH, V28, P270, DOI DOI 10.1007/BF03322257

[6]

GUPTA CP, 1995, INT J MATH MATH SCI, V18, P705

[7]

ILIN VA, 1987, DIFF EQUAT+, V23, P803

[8] On a nonlocal boundary value problem at resonance [J].

Karakostas, GL ;

Tsamatos, PC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (01) :209-218

[9] Existence results of a m-point boundary value problem at resonance [J].

Ma, RY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) :147-157

[10] Positive solutions of some three point boundary value problems via fixed point index theory [J].

Webb, JRL .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) :4319-4332

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