Nodal solutions for a class of degenerate one dimensional BVP's

Julian López-Gómez, Paul H. Rabinowitz

DOI: http://dx.doi.org/10.12775/TMNA.2016.087

Abstract


In \cite{LR15}, a family of degenerate one dimensional boundary value problems was studied and the existence of positive (and negative) solutions and solutions that possess one interior node was shown for a range of values of a parameter, $\lambda$. It was conjectured that there is a natural extension of these results giving solutions with any prescribed number of interior nodes. This conjecture will be established here.

Keywords


Degenerate boundary value problem; nodal solutions; characterization theorem; global structure of the components

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