Spectral properties of the Sturm-Liouville operator with a spectral parameter quadratically included in the boundary condition

DOI10.35634/vm200207zbMath1479.34053OpenAlexW4247361504MaRDI QIDQ4986754

Ibragim Mail Ogly Nabiev, Leĭla Ibragim Kyzy Mammadova

Publication date: 28 April 2021

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu722

zbMATH Keywords

eigenvaluesSturm-Liouville operatorinfinite productnon-separated boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)

Related Items (2)

Reconstruction of the differential operator with spectral parameter in the boundary condition ⋮ Unnamed Item

Cites Work

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• A uniqueness theorem for Sturm-Liouville equations with a spectral parameter rationally contained in the boundary condition
• The inverse Sturm-Liouville problem with generalized periodic boundary conditions
• Inverse problems for non-selfadjoint quasi-periodic differential pencils
• Inverse problem for an operator pencil with nonseparated boundary conditions
• Defect basis property of a system of root functions of a Sturm-Liouville problem with spectral parameter in the boundary conditions
• Multiplicities and relative position of eigenvalues of a quadratic pencil of Sturm-Liouville operators
• On a boundary value problem with a spectral parameter in the boundary conditions
• Basis properties of root functions of differential operators with spectral parameter in the boundary conditions
• Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
• An inverse spectral problem for non-selfadjoint Sturm-Liouville operators with nonseparated boundary conditions
• INVERSE PROBLEMS OF SPECTRAL ANALYSIS FOR STURM-LIOUVILLE OPERATORS WITH NONSEPARATED BOUNDARY CONDITIONS
• Solution of a class of inverse boundary-value Sturm-Liouville problems
• Inverse boundary value problem for the linearized Benney-Luke equation with nonlocal conditions
• Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter
• The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators
• Determination of the diffusion operator on an interval

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