About characteristic determinant of one boundary value problem not having the basis property

DOI10.1063/1.5000639zbMath1463.34081OpenAlexW2753953738MaRDI QIDQ5116256

Nurlan Sayramovich Imanbaev, Makhmud Abdysametovich Sadybekov

Publication date: 24 August 2020

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj255

zbMATH Keywords

eigenvalueseigenfunctionsboundary value problembasis propertyordinary differential operatorcharacteristic determinant

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment ⋮ About characteristic determinant of one boundary value problem not having the basis property ⋮ On basic properties of eigenfunctions and associated functions of one loaded operator of multiple differentiation ⋮ On a Problem that Does not Have Basis Property of Root Vectors, Associated with a Perturbed Regular Operator of Multiple Differentiation

Cites Work

• On stability of basis property of root vectors system of the Sturm-Liouville operator with an integral perturbation of conditions in nonstrongly regular Samarskii-Ionkin type problems
• On a family of initial-boundary value problems for the heat equation
• The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions
• On the Riesz basis property of the root functions in certain regular boundary value problems
• On the basis property of root functions of a periodic problem with an integral perturbation of the boundary condition
• Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases
• Properties of spectral expansions corresponding to non-self-adjoint differential operators.
• On a nonlocal perturbation of a periodic eigenvalue problem
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