Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844302 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 14 Pages |
Abstract
This paper is devoted to the study the boundary value problem {u(4)(t)=f(t,u(t))for all t∈I=[0,1],u(0)=u(1)=u″(0)=u″(1)=0. We prove the existence of at least one, two or three solutions in the presence of a pair of, not necessarily ordered, lower and upper solutions.The proof follows from maximum principles related to the operator u(4)+Muu(4)+Mu and Amann’s three solutions theorem.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Alberto Cabada, J. Ángel Cid, Luís Sanchez,