Open Access Research Article

Multiple Positive Solutions for th Order Multipoint Boundary Value Problem

Yaohong Li1,2* and Zhongli Wei2,3

Author Affiliations

1 Department of Mathematics, Suzhou University, Suzhou, Anhui 234000, China

2 School of Mathematics, Shandong University, Jinan, Shandong 250100, China

3 School of Sciences, Shandong Jianzhu University, Jinan, Shandong 250101, China

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Boundary Value Problems 2010, 2010:708376 doi:10.1155/2010/708376

Published: 20 June 2010

Abstract

We study the existence of multiple positive solutions for th-order multipoint boundary value problem. , , , , where , , . We obtained the existence of multiple positive solutions by applying the fixed point theorems of cone expansion and compression of norm type and Leggett-Williams fixed-point theorem. The results obtained in this paper are different from those in the literature.