Open Access Research

Multiple positive solutions for a fourth-order integral boundary value problem on time scales

Yongkun Li* and Yanshou Dong

Author Affiliations

Department of Mathematics, Yunnan University Kunming, Yunnan 650091 People's Republic of China

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Boundary Value Problems 2011, 2011:59  doi:10.1186/1687-2770-2011-59

Published: 29 December 2011

Abstract

In this article, we investigate the multiplicity of positive solutions for a fourth-order system of integral boundary value problem on time scales. The existence of multiple positive solutions for the system is obtained by using the fixed point theorem of cone expansion and compression type due to Krasnosel'skill. To demonstrate the applications of our results, an example is also given in the article.

Keywords:
positive solutions; fixed points; integral boundary conditions; time scales