Title of article
Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem Original Research Article
Author/Authors
Ruyun Ma، نويسنده , , Jia Xu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
10
From page
113
To page
122
Abstract
We study the existence of positive solutions of the nonlinear boundary value problem
View the MathML sourceu(4)(t)=f(t,u(t),u″(t)),t∈(0,1),
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u(0)=u(1)=u″(0)=u″(1)=0,u(0)=u(1)=u″(0)=u″(1)=0,
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which is not necessarily linearizable. Our approaches are based on Krein–Rutman theorem, topological degree theory and global bifurcation techniques.
Keywords
Krein–Rutman theorem , topological degree , Fourth-order ordinary differential equations , Bifurcation , positive solutions , Eigenvalue
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862074
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