Second-order differential operators with interior singularity

DOI10.1186/S13662-015-0360-7zbMath1350.34031OpenAlexW2151450556WikidataQ59426279 ScholiaQ59426279MaRDI QIDQ318650

Kadriye Aydemir, Oktay Sh. Mukhtarov

Publication date: 5 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0360-7

zbMATH Keywords

Green's functionSturm-Liouville problemsresolvent operatortransmission conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05)

Related Items (7)

Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem ⋮ The basis property of the system of weak eigenfunctions of a discontinuous Sturm-Liouville problem ⋮ Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions ⋮ Variational principles for spectral analysis of one Sturm-Liouville problem with transmission conditions ⋮ The eigenvalue problem with interaction conditions at one interior singular point ⋮ Solvability and coerciveness of multi-point Sturm-Liouville problems with abstract linear functionals ⋮ Equiconvergence property for spectral expansions related to perturbations of the operator - u(-x) with initial data

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