Abstract and Applied Analysis

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

Hua Su, Lishan Liu, and Yonghong Wu

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 572172, 11 pages.

Dates
First available in Project Euclid: 4 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365099936

Digital Object Identifier
doi:10.1155/2012/572172

Mathematical Reviews number (MathSciNet)
MR2947719

Zentralblatt MATH identifier
1251.34076

Citation

Su, Hua; Liu, Lishan; Wu, Yonghong. Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 572172, 11 pages. doi:10.1155/2012/572172. https://projecteuclid.org/euclid.aaa/1365099936


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