Basis property of root functions system for a problem with spectral parameter in the boundary condition

DOI10.1134/S1995080220100108zbMath1458.34041OpenAlexW3109425755MaRDI QIDQ2214335

Yanyan Li

Publication date: 8 December 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220100108

zbMATH Keywords

spectral problemelliptic-hyperbolic equationmixed type equation

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• On the uniform convergence in \(C^{1}\) of Fourier series for a spectral problem with squared spectral parameter in a boundary condition
• On the basis property of the system of eigenfunctions of a problem with squared spectral parameter in a boundary condition
• On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a 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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