Spectral properties of fourth order differential operators with periodic and antiperiodic boundary conditions

DOI10.1007/s00025-015-0454-2zbMath1330.34130OpenAlexW1997712826MaRDI QIDQ889145

Ufuk Kaya, Nazim B. Kerimov, Hikmet Gunes

Publication date: 6 November 2015

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.12323/4660

zbMATH Keywords

fourth order eigenvalue problemperiodic and antiperiodic boundary conditionsasymptotic behavior of eigenvalues and eigenfunctionsbasis properties of the system of root functions

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (7)

Sharp eigenvalue asymptotics of fourth-order differential operators ⋮ Eigenvalue asymptotics and a trace formula for a fourth-order differential operator ⋮ Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation ⋮ Spectral analysis of an even order differential operator with square integrable potential ⋮ On the spectral properties of high-order differential operators with periodic boundary conditions ⋮ Spectral estimates for the fourth-order differential operator with periodic coefficients ⋮ Basis properties of root functions of a regular fourth order boundary value problem

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