Riesz bases of root vectors of indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions. II

Details Riesz bases of root vectors of indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions. II Riesz bases of root vectors of indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions. II

2007-05-29

arxiv.org/abs/0705.4157v2

Mathematics

Classical Analysis and ODEs

27 pages

Scientific paper

We consider a regular indefinite Sturm-Liouville problem with two
self-adjoint boundary conditions affinely dependent on the eigenparameter. We
give sufficient conditions under which the root vectors of this Sturm-Liouville
problem can be selected to form a Riesz basis of a corresponding weighted
Hilbert space.

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