Generalized eigenfunctions of one Sturm-Liouville system with symmetric jump conditions

OS Mukhtarov, H Olǧar… - … Conference on Advances …, 2016 - ui.adsabs.harvard.edu
The aim of this study is to investigate one discontinuous Sturm-Liouville problem with
eigenparameter appearing in the boundary-transmission conditions. We esthabilish some
spectral properties for the considered problem in suitable Sobolev spaces. The main result
of this study state that the system of generalized eigenfunctions form a Riesz basis of the
appropriate Hilbert space.
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