Title of article
Necessary and sufficient conditions for the existence of solution to three-point BVP Original Research Article
Author/Authors
G. Bogn?r، نويسنده , , J. Cepicka، نويسنده , , P. Drabek، نويسنده , , P. Ne?esal، نويسنده , , E. Rozgonyi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
12
From page
2984
To page
2995
Abstract
We study the existence of a solution of the three-point boundary value problem
equation(P)
View the MathML sourcex″+λx+g(x)=h,x(0)=0,x(η)=x(π).
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We give sufficient and necessary conditions on gg and hh in order for (P) to have a real solution. Our conditions are of Landesman–Lazer type and depend on the real values of λλ and ηη.
Keywords
Resonance at higher eigenvalues , Landesman–Lazer type condition , Leray–Schauder degree , Three-point boundary value problem
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860586
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