On the uniform convergence of the Fourier series for one spectral problem with a spectral parameter in a boundary condition

DOI10.1002/mma.3640zbMath1343.34192OpenAlexW2116931556MaRDI QIDQ2814088

Emir A. Maris, Nazim B. Kerimov

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3640

zbMATH Keywords

uniform convergenceeigenvalues and eigenfunctionsasymptotic formulae

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (8)

Uniform convergence of the Fourier series expansions in the subsystems of root functions of some spectral problem for ordinary differential equations of fourth order ⋮ The uniform convergence of Fourier series expansions of a Sturm-Liouville problem with boundary condition which contains the eigenparameter ⋮ Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. II ⋮ On the uniform convergence of Fourier series expansions for Sturm-Liouville problems with a spectral parameter in the boundary conditions ⋮ On the spectral properties of a Sturm-Liouville problem with eigenparameter in the boundary condition ⋮ Spectra of a discrete Sturm-Liouville problem with eigenparameter-dependent boundary conditions in Pontryagin space ⋮ On the uniform convergence of Fourier series expansions in the system of eigenfunctions of the equation of a vibrating rod at one end of which the mass is concentrated ⋮ Uniform convergence of spectral expansions for a problem with a boundary condition depending on a spectral parameter

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• TRANSFORMATION OF STURM–LIOUVILLE PROBLEMS WITH DECREASING AFFINE BOUNDARY CONDITIONS
• Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition

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