Positive solutions for Sturm-Liouville boundary value problems in a Banach space

Su, H.; Liu, L.; Wu, Yong Hong

doi:10.1155/2012/572172

190420_75521_12J022_AAA_Positive_sols_for_Sturm-Liouville_BVPs_in_a_Banach_space.pdf (478.7Kb)

Access Status

Open access

Authors

Su, H.

Liu, L.

Wu, Yong Hong

Date

2012

Type

Journal Article

Metadata

Show full item record

Citation

Su, Hua and Liu, Lishan and Wu, Yonghong. 2012. Positive solutions for Sturm-Liouville boundary value problems in a Banach space. Abstract and Applied Analysis. 2012: pp. 572172:1-572172:11.

Source Title

Abstract and Applied Analysis

DOI

10.1155/2012/572172

ISSN

10853375

Remarks

This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/. Please refer to the licence to obtain terms for any further reuse or distribution of this work.

URI

http://hdl.handle.net/20.500.11937/46430

Collection

Curtin Research Publications

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.