Article ID Journal Published Year Pages File Type
4624168 Journal of Mathematical Analysis and Applications 2006 13 Pages PDF
Abstract

In this paper, we study the existence and multiplicity of nontrivial solutions for the fourth-order two point boundary value problems. Making use of the theory of fixed point index in cone and Leray–Schauder degree, under general conditions on nonlinearity, we prove that there exist at least six different nontrivial solutions for the fourth-order two point boundary value problems. Furthermore, if the nonlinearity is odd, we obtain that there exist at least eight different nontrivial solutions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis