Basis properties of a fourth order differential operator with spectral parameter in the boundary condition

• Autorzy: Ziyatkhan Aliyev
• Języki publikacji: EN

Abstrakty

EN

We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L p(0; l); p ∈ (1;∞); of the system of eigenfunctions are investigated.

Słowa kluczowe

EN

Fourth order eigenvalue problem; Spectral parameter in the boudary condition; Oscillation properties of eigenfunctions; Basis properties of the system of eigenfunctions

Kategorie tematyczne

• 34L10: Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions
• 34L20: Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions
• 34B24: Sturm-Liouville theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 2
• Strony: 378-388

Daty

wydano

2010-04-01

online

2010-04-14

Twórcy

autor

Ziyatkhan Aliyev

• Baku State University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0002-y