Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470657 | Computers & Mathematics with Applications | 2011 | 9 Pages |
Abstract
The purpose of this paper is to investigate the existence and the uniqueness of symmetric positive solutions for a class of fourth-order boundary value problem: {y(4)(t)=f(t,y(t)),t∈[0,1],y(0)=y(1)=y′(0)=y′(1)=0. By using the fixed point index method, we establish the existence of at least one or at least two symmetric positive solutions for the above boundary value problem. Further, by using a fixed point theorem of general αα-concave operators, we also present criteria which guarantee the existence and uniqueness of symmetric positive solutions for the above boundary value problem.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Chengbo Zhai, Ruipeng Song, Qianqian Han,