Accurate asymptotic formulas for eigenvalues and eigenfunctions of a boundary-value problem of fourth order

DOI10.1155/2010/720235zbMath1214.47021OpenAlexW2013731911WikidataQ59252061 ScholiaQ59252061MaRDI QIDQ623673

Hamza Menken

Publication date: 8 February 2011

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227400

zbMATH Keywords

eigenvalueperiodic boundary conditionseigenfunctionfourth-order boundary value problemsaccurate asymptotic formulas

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) General theory of linear operators (47A99)

Related Items (6)

Spectral properties of fourth order differential operators with periodic and antiperiodic boundary conditions ⋮ Spectral properties of some regular boundary value problems for fourth order differential operators ⋮ Spectral analysis of an even order differential operator with square integrable potential ⋮ Some problems of spectral theory of fourth-order differential operators with regular boundary conditions ⋮ Spectral asymptotics and basis properties of fourth order differential operators with regular boundary conditions ⋮ Spectral properties of an even-order differential operator

Cites Work

• A theorem on equivalent bases for differential operators
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• On the Riesz basis property of the root functions in certain regular boundary value problems
• Higher-order spectral asymptotics for the Sturm--Liouville operator
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