Title of article
Existence and multiplicity of solutions of a kind of fourth-order boundary value problem Original Research Article
Author/Authors
Fuyi Li، نويسنده , , Qi Zhang، نويسنده , , Zhanping Liang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
14
From page
803
To page
816
Abstract
In this paper, the existence and multiplicity results of the solutions are obtained for the fourth-order boundary value problem u(4)(t)=f(t,u(t))u(4)(t)=f(t,u(t)) for all t∈[0,1]t∈[0,1] subject to u(0)=u(1)=u″(0)=u″(1)=0u(0)=u(1)=u″(0)=u″(1)=0, where f is continuous. The monotone operator theory and critical point theory are employed to discuss this problem, respectively.
Keywords
PS condition , mountain pass lemma , Boundary value problem , Strongly monotone operator principle , critical point theory
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2005
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858977
Link To Document