Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12323/4661
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dc.contributor.authorKerimov, Nazim B.-
dc.contributor.authorKaya, Ufuk-
dc.date.accessioned2020-08-09T07:35:33Z-
dc.date.available2020-08-09T07:35:33Z-
dc.date.issued2014-
dc.identifier.citationArabian Journal of Mathematicsen_US
dc.identifier.urihttp://hdl.handle.net/20.500.12323/4661-
dc.description.abstractIn this paper, we consider the problem yıv + q (x) y = λy, 0 < x < 1, y (1) − (−1) σ y (0) + αy (0) + γ y (0) = 0, y (1) − (−1) σ y (0) + βy (0) = 0, y (1) − (−1) σ y (0) = 0, y (1) − (−1) σ y (0) = 0 where λ is a spectral parameter; q (x) ∈ L1 (0, 1) is a complex-valued function; α, β, γ are arbitrary complex constants and σ = 0, 1. The boundary conditions of this problem are regular, but not strongly regular. Asymptotic formulae for eigenvalues and eigenfunctions of the considered boundary value problem are established and it is proved that all the eigenvalues, except for a finite number, are simple in the case αβ = 0. It is shown that the system of root functions of this spectral problem forms a basis in the space L p (0, 1), 1 < p < ∞, when αβ = 0; moreover, this basis is unconditional for p = 2.en_US
dc.language.isoenen_US
dc.publisherSpringer Berlin Heidelbergen_US
dc.relation.ispartofseriesVol. 3;№ 1-
dc.titleSome problems of spectral theory of fourth-order differential operators with regular boundary conditionsen_US
dc.typeArticleen_US
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