The basis properties of eigenfunctions in the eigenvalue problem with a spectral parameter in the boundary condition

DOI10.1134/S1064562407010048zbMath1327.34135OpenAlexW2042445164MaRDI QIDQ492424

Nazim B. Kerimov, Ziyatkhan S. Aliyev

Publication date: 20 August 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562407010048

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (1)

Basis properties of the system of eigenfunctions in the Sturm-Liouville problem with a spectral parameter in the boundary conditions

Cites Work

• A Pruefer transformation for the equation of a vibrating beam subject to axial forces
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Vibrations of a pendulum consisting of a bob suspended from a wire: the method of integral equations
• Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition
• 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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