Existence of multiple positive solutions for fourth-order boundary value problems in Banach spaces

Boundary value problems

Yujun Cui¹  Jingxian Sun² 

[1] Department of Mathematics, Shandong University of Science and Technology, Qingdao, P.R. China;Department of Mathematics, Xuzhou Normal University, Xuzhou, P.R. China

关键词: boundary value problem;    positive solution;    fixed-point theorem;    measure of noncompactness;   

DOI  :  10.1186/1687-2770-2012-107

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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. MSC:34B15.

【 授权许可】

CC BY