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On the uniform convergence of the Fourier series for one spectral problem with a spectral parameter in a boundary condition
Authors:Nazim B Kerimov  Emir A Maris
Institution:Department of Mathematics, Mersin University, Mersin, Turkey
Abstract:In this paper, we investigate the uniform convergence of the Fourier series expansions in terms of eigenfunctions for the spectral problem urn:x-wiley:mma:media:mma3640:mma3640-math-0001 where λ is a spectral parameter, q(x) is a real‐valued continuous function on the interval 0,1], and a1,b0,b1,c1,d0, and d1 are real constants that satisfy the conditions urn:x-wiley:mma:media:mma3640:mma3640-math-0002 Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:eigenvalues and eigenfunctions  asymptotic formulae  uniform convergence
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