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

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

2000-11-03

arxiv.org/abs/math/0011027v2

Mathematics

Analysis of PDEs

16 pages

Scientific paper

We obtain a description of the Fu\v{c}ik spectrum associated to the
one-dimensional asymmetric problem with indefinite weights $Lu = am(t)u^+ -
bn(t)u^-$ in $]T_1, T_2[$, $u'(T_1) = 0 = u'(T_2)$, where $L$ is a
Sturm-Liouville operator. Our approach is based on the shooting method.

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