The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions
Branko Ćurgus,
Andreas Fleige,
Aleksey Kostenko
Abstract:We consider a regular indefinite Sturm-Liouville eigenvalue problem −f ′′ + qf = λrf on [a, b] subject to general self-adjoint boundary conditions and with a weight function r which changes its sign at finitely many, so-called turning points. We give sufficient and in some cases necessary and sufficient conditions for the Riesz basis property of this eigenvalue problem. In the case of separated boundary conditions we extend the class of weight functions r for which the Riesz basis property can be completely ch… Show more
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