Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
469685 | Computers & Mathematics with Applications | 2009 | 7 Pages |
Abstract
In this paper, we study the existence and multiplicity of solutions to the fourth-order boundary value problem u(4)(t)+βu″(t)−αu(t)=f(t,u(t))u(4)(t)+βu″(t)−αu(t)=f(t,u(t)) for all t∈[0,1]t∈[0,1] subject to Dirichlet boundary value condition, where f∈C1([0,1]×R1,R1),α,β∈R1f∈C1([0,1]×R1,R1),α,β∈R1. By using the critical point theory and the infinite dimensional Morse theory, we establish some conditions on ff which are able to guarantee that this boundary value problem has at least one nontrivial, two nontrivial, mm distinct pairs of solutions, and infinitely many solutions, respectively. Our results improve some recent works.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yaqiong Cui,