On the uniform convergence of Fourier series expansions for Sturm-Liouville problems with a spectral parameter in the boundary conditions

DOI10.1007/s00025-018-0864-zzbMath1404.34096OpenAlexW2810737669MaRDI QIDQ1990795

Emir A. Maris, Nazim B. Kerimov

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0864-z

zbMATH Keywords

uniform convergenceSturm-Liouville problemsFourier series

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 (7)

Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition ⋮ Uniform convergence of Fourier series expansions for a fourth-order spectral problem with boundary conditions depending on the eigenparameter ⋮ 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 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 ⋮ Uniform convergence of spectral expansions for a problem with a boundary condition depending on a spectral parameter

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