On Riescz Bases of Eigenfunction of 2-nd Order Differential Operator with Involution and Integral Boundary Conditions

DOI10.18500/1816-9791-2015-15-4-392-405zbMath1353.34105OpenAlexW2335445484MaRDI QIDQ2830910

V. P. Kurdyumov

Publication date: 1 November 2016

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18500/1816-9791-2015-15-4-392-405

zbMATH Keywords

resolventRiesz basisinvolution

Mathematics Subject Classification ID

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 (11)

Riesz basis property of system of root functions of second-order differential operator with involution ⋮ Spectral asymptotics of two-term even order operators with involution ⋮ A nonlocal problem for a differential operator of even order with involution ⋮ The nonlocal problem for the $2n$ differential equations with unbounded operator coefficients and the involution ⋮ Spectral properties of ordinary differential operators with involution ⋮ Formula for regularized trace of a second order differential operator with involution ⋮ The nonlocal multipoint problem with Dirichlet-type conditions for an ordinary differential equation of even order with involution ⋮ Spectral properties of the Cauchy problem for a second-order operator with involution ⋮ The nonlocal problem for the differential-operator equation of the even order with the involution ⋮ Regular ordinary differential operators with involution ⋮ Spectral properties of a differential operator with involution

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