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

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Central European Journal of Mathematics

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematical Analysis, Baku State University, Baku, Azerbaijan

    Ziyatkhan S. Aliyev

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  1. Ziyatkhan S. Aliyev
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Correspondence to Ziyatkhan S. Aliyev.

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Aliyev, Z.S. Basis properties of a fourth order differential operator with spectral parameter in the boundary condition. centr.eur.j.math. 8, 378–388 (2010). https://doi.org/10.2478/s11533-010-0002-y

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  • DOI: https://doi.org/10.2478/s11533-010-0002-y

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