Open Access
Translator Disclaimer
2014 Multiplicity of Positive Solutions for a Singular Second-Order Three-Point Boundary Value Problem with a Parameter
Jian Liu, Hanying Feng, Xingfang Feng
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/603203

Abstract

This paper is concerned with the following second-order three-point boundary value problem ut+β2ut+λqtft,ut=0, t0 , 1, u0=0, u(1)=δu(η), where β(0,π/2), δ>0, η(0,1), and λ is a positive parameter. First, Green’s function for the associated linear boundary value problem is constructed, and then some useful properties of Green’s function are obtained. Finally, existence, multiplicity, and nonexistence results for positive solutions are derived in terms of different values of λ by means of the fixed point index theory.

Citation

Download Citation

Jian Liu. Hanying Feng. Xingfang Feng. "Multiplicity of Positive Solutions for a Singular Second-Order Three-Point Boundary Value Problem with a Parameter." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/603203

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131728
MathSciNet: MR3251583
Digital Object Identifier: 10.1155/2014/603203

Rights: Copyright © 2014 Hindawi

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.2014 • 2014
Back to Top