Spectral properties of some regular boundary value problems for fourth order differential operators

DOI10.2478/s11533-012-0059-xzbMath1272.34025OpenAlexW2014954643MaRDI QIDQ1935085

Ufuk Kaya, Nazim B. Kerimov

Publication date: 30 January 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.12323/4650

zbMATH Keywords

fourth order eigenvalue problemnot strongly regular boundary conditionsasymptotic behavior of eigenvalues and eigenfunctionsbasis properties of the system of root functions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (8)

Spectral properties of fourth order differential operators with periodic and antiperiodic boundary conditions ⋮ On spectral properties of certain regular boundary value problems for higher-order differential operators ⋮ On the spectral properties of high-order differential operators with periodic boundary conditions ⋮ Some problems of spectral theory of fourth-order differential operators with regular boundary conditions ⋮ On the basis property of the root functions of some class of non-self-adjoint Sturm-Liouville operators ⋮ Basis properties of root functions of a regular fourth order boundary value problem ⋮ Spectral asymptotics and basis properties of fourth order differential operators with regular boundary conditions ⋮ Solvability of the Neumann Problem in a Disk for Fourth-Order Properly Elliptic Equations

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