Title of article
Nodal solutions for second-order m-point boundary value problems with nonlinearities across several eigenvalues Original Research Article
Author/Authors
Ruyun Ma، نويسنده , , Donal O’Regan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
16
From page
1562
To page
1577
Abstract
We study the existence of nodal solutions of the m-point boundary value problem
View the MathML sourceu″+f(u)=0,00αi>0 and View the MathML source0<∑i=1m-2αi⩽1. We give conditions on the ratio f(s)/sf(s)/s at infinity and zero that guarantee the existence of nodal solutions. The proofs of our main results are based upon bifurcation techniques.
Keywords
multiplicity results , Bifurcation methods , Nodal zeros , Multi-point boundary value problems , eigenvalues
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2006
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
859275
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