Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space-Reference-Cited by-同舟云学术

Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space

Published:2012 Issue: Volume:2012 Page:1-11
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Su Hua¹,Liu Lishan²,Wu Yonghong³

Affiliation:

1. School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, China

2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

3. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia

Abstract

We consider the existence of single and multiple positive solutions for a second-order Sturm-Liouville boundary value problem in a Banach space. The sufficient condition for the existence of positive solution is obtained by the fixed point theorem of strict set contraction operators in the frame of the ODE technique. Our results significantly extend and improve many known results including singular and nonsingular cases.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/572172.pdf

Reference13 articles.

1. Positive solutions of singular boundary value problems

2. Iterative methods for a fourth order boundary value problem

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4. Existence and uniqueness results for the bending of an elastic beam equation at resonance

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