New type of Sturm-Liouville problems in associated Hilbert spaces

DOI10.1155/2014/606815zbMath1302.34046OpenAlexW1992619947WikidataQ59057566 ScholiaQ59057566MaRDI QIDQ2249978

Oktay Sh. Mukhtarov, Kadriye Aydemir

Publication date: 4 July 2014

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/606815

zbMATH Keywords

eigenvalue asymptoticsSturm-Liouville problemcompact operatordiscrete spectrumcoercive estimatetransmission conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

Completeness of eigenfunctions of discontinuous Sturm-Liouville problems ⋮ Second-order differential operators with interior singularity ⋮ The basis property of the system of weak eigenfunctions of a discontinuous Sturm-Liouville problem ⋮ Boundary value problems with eigenvalue-dependent boundary and transmission conditions ⋮ Construction and stability of Riesz bases ⋮ Variational principles for spectral analysis of one Sturm-Liouville problem with transmission conditions ⋮ Completeness theorem for eigenparameter dependent dissipative Dirac operator with general transfer conditions ⋮ Third-order boundary value transmission problems ⋮ The eigenvalue problem with interaction conditions at one interior singular point

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