Fu/v cik Spectrum for the Neumann Problem with Indefinite Weights

Abstract

We obtain a description of the Fučik spectrum associated to the one-dimensional asymmetric problem with indefinite weights $Lu=am(t)u^{+}-bn(t)u^{-}$ in $]T_1,T_2[$, $u^{\prime }(T_1)=0=u^{\prime }(T_2)$, where $L$ is a Sturm-Liouville operator. Our approach is based on the shooting method.

16 pages