Title of article
Multiple solutions of some nonlinear fourth-order beam equations Original Research Article
Author/Authors
Guodong Han، نويسنده , , Zongben Xu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
11
From page
3646
To page
3656
Abstract
Several new existence theorems on three solutions and infinitely many solutions for the following fourth-order beam equation are obtained:
View the MathML sourceu(4)=f(t,u(t)),t∈[0,1];u(0)=u(1)=u″(0)=u″(1)=0,
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where f∈C1([0,1]×R1,R1)f∈C1([0,1]×R1,R1). The Morse theory is employed to discuss this problem.
Keywords
critical group , Morse inequality , boundary value problems , critical points
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860299
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