Spectral properties of nonself-adjoint nonlocal boundary-value problems for the operator of differentiation of even order

DOI10.1007/s11253-018-1538-4zbMath1425.34099OpenAlexW2902942749WikidataQ128855554 ScholiaQ128855554MaRDI QIDQ2274550

Yaroslav Baranetskij, Lubov I. Kolyasa, Petro I. Kalenyuk

Publication date: 20 September 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-018-1538-4

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (4)

Nonlocal problem with multipoint perturbations of the Birkhoff strongly regular boundary conditions for an even-order differential operator ⋮ The nonlocal multipoint problem with Dirichlet-type conditions for an ordinary differential equation of even order with involution ⋮ The nonlocal boundary problem with perturbations of antiperiodicity conditions for the eliptic equation with constant coefficients ⋮ The nonlocal problem for the differential-operator equation of the even order with the involution

Cites Work

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• Limit theorems for general one-dimensional boundary-value problems
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• On the existence of a reduced system of eigenfunctions and generalized eigenfunctions for a nonselfadjoint ordinary differential operator
• Eigenfunction expansions associated with one-dimensional periodic differential operators of order \(2n\)
• Dissipative boundary conditions for ordinary differential operators
• Regular and completely regular differential operators
• Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces

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