On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition

DOI10.1134/S0012266107070038zbMath1189.34161OpenAlexW1985649092MaRDI QIDQ1033603

Ziyatkhan S. Aliyev, Nazim B. Kerimov

Publication date: 6 November 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266107070038

zbMATH Keywords

boundary-value problemspectral parameter in the boundary conditionbasis property of the system of eigenfunctions

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08)

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Cites Work

• A Pruefer transformation for the equation of a vibrating beam subject to axial forces
• Vibrations of a pendulum consisting of a bob suspended from a wire: the method of integral equations
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Unnamed Item
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