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Title: Uniform Convergence Of The Spectral Expansions In Terms Of Root Functions For A Spectral Problem
Authors: Kerimov, Nazim B.
Goktas, Sertac
Maris, Emir A.
Issue Date: 2016
Citation: Electronic Journal of Differential Equations
Series/Report no.: Vol. 2016;№ 80
Abstract: In this article, we consider the spectral problem −y 00 + q(x)y = λy, 0 < x < 1, y 0 (0) sin β = y(0) cos β, 0 ≤ β < π; y 0 (1) = (aλ + b)y(1) where λ is a spectral parameter, a and b are real constants and a < 0, q(x) is a real-valued continuous function on the interval [0, 1]. The root function system of this problem can also consist of associated functions. We investigate the uniform convergence of the spectral expansions in terms of root functions.
ISSN: 1072-6691
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