On the spectral properties of a Sturm-Liouville problem with eigenparameter in the boundary condition

DOI10.15672/hujms.479445zbMath1488.34204OpenAlexW2998723788MaRDI QIDQ5162958

Emir A. Maris, Sertac Goktas

Publication date: 8 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.479445

zbMATH Keywords

eigenvalueseigenfunctionsbasisminimal system

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

The uniform convergence of Fourier series expansions of a Sturm-Liouville problem with boundary condition which contains the eigenparameter

Cites Work

• Basis properties of the system of eigenfunctions in the Sturm-Liouville problem with a spectral parameter in the boundary conditions
• On a boundary value problem with a spectral parameter in the boundary conditions
• On the uniform convergence of Fourier series expansions for Sturm-Liouville problems with a spectral parameter in the boundary conditions
• Basis property in \(L_{p}(0, 1)\) of the system of eigenfunctions corresponding to a problem with a spectral parameter in the boundary condition
• On the convergence of spectral expansions of functions for problems with a spectral parameter in a boundary condition
• On the uniform convergence of the Fourier series for one spectral problem with a spectral parameter in a boundary condition
• Reconstruction of potential function and its derivatives for Sturm–Liouville problem with eigenvalues in boundary condition
• Numerical solution of inverse nodal problem with an eigenvalue in the boundary condition
• The basis property in L_pof the boundary value problem rationally dependent on the eigenparameter
• The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
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