Existence of multiple positive solutions for fourth-order boundary value problems in Banach spaces
1 Department of Mathematics, Shandong University of Science and Technology, Qingdao, 266590, P.R. China
2 Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, P.R. China
Boundary Value Problems 2012, 2012:107 doi:10.1186/1687-2770-2012-107Published: 9 October 2012
This paper deals with the positive solutions of a fourth-order boundary value problem in Banach spaces. By using the fixed-point theorem of strict-set-contractions, some sufficient conditions for the existence of at least one or two positive solutions to a fourth-order boundary value problem in Banach spaces are obtained. An example illustrating the main results is given.