Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces

Authors:
Xinan Hao;Lishan Liu;Yonghong Wu;Naiwei Xu
Affiliations:
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People's Republic of China;School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People's Republic of China and Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA ...;Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia;College of Polytechnic Shandong Water, 276826, Rizhao, Shandong, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

In this paper, we consider a class of singular nth-order nonlocal boundary value problems in Banach spaces. The existence of multiple positive solutions for the problem is obtained by using the fixed point index theory of strict set contraction operators. To demonstrate the applications of our results, two examples are also given in the paper.