Positive Solutions to a Singular Second Order Three-Point Boundary Value Problem

QU Wen-bo; ZHANG Zhong-xin; WU Jun-de

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(7): 759-770

QU Wen-bo, ZHANG Zhong-xin, WU Jun-de. Positive Solutions to a Singular Second Order Three-Point Boundary Value Problem[J]. Applied Mathematics and Mechanics, 2002, 23(7): 759-770.

Citation:

QU Wen-bo, ZHANG Zhong-xin, WU Jun-de. Positive Solutions to a Singular Second Order Three-Point Boundary Value Problem[J]. Applied Mathematics and Mechanics, 2002, 23(7): 759-770.

Citation:

QU Wen-bo, ZHANG Zhong-xin, WU Jun-de. Positive Solutions to a Singular Second Order Three-Point Boundary Value Problem[J]. Applied Mathematics and Mechanics, 2002, 23(7): 759-770.

PDF( 430 KB)

Positive Solutions to a Singular Second Order Three-Point Boundary Value Problem

1.
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P R China;
2.
Insitute of Mathematics, Jilin University, Changchun 130012, P R China;
3.
Department of Applied Mathematics, Zhejiang University, Hangzhou 312000, P R China

Received Date: 2001-06-05
Rev Recd Date: 2002-02-28
Publish Date: 2002-07-15

Abstract

Abstract

A fixed point theorem is used to study a singular second order three-point boundary value problem. The problem is more general. Combining the method of constructing Green functions with operators defined piecewise, the existence result of positive solutions to a singular second order three-point boundary value probelm is established. The nonlinearity can be allowed to change sign.
- positive solution,
- boundary value problem,
- existence

FullText(HTML)

References(4)

References

[1]	MA Ru-yun.Positive solutions of a nonlinear th ree-point boundary value problems[J].Electron J Differential Equations,1999,34:1-8.
[2]	Gupta C P.A sharper condition for the solvability of a three-point second order boundary value problem[J].J Math Anal Appl,1997,205(2):586-597.
[3]	Krasosel'skill M A.Positive Solutions of Operator Equation[M].Gorningen:Noordhoff,1964.
[4]	Cabada A,Nieto J J.Fixed points and approximate solutions for no nlinear operator equations[J].J Comput Appl Math,2000,113 (1-2):17-25.