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Title: On The Basis Properties And Convergence Of Expansions In Terms Of Eigenfunctions For A Spectral Problem With A Spectral Parameter In The Boundary Condition
Authors: Kerimov, Nazim B.
Maris, Emir Ali
Issue Date: 2014
Publisher: National Academy of Sciences of Azerbaijan
Citation: Proceedings of the Institute of Mathematics and Mechanics
Series/Report no.: Vol. 40;special issue
Abstract: In this paper, we consider the spectral problem − y 00 + q (x) y = λy, 0 < x < 1, y (0) = 0, y0 (0) − dλy (1) = 0, where λ is a spectral parameter, q (x) ∈ L1 (0, 1) is a complex-valued function and d is an arbitrary nonzero complex number. We study the spectral properties ( asymptotic formulae for eigenvalues and eigenfunctions, minimality and basicity of the system of eigenfunctions, the uniform convergence of expansions in terms of eigenfunctions ) of the considered boundary value problem.
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