Basis property of eigenfunctions in Lebesgue spaces for a spectral problem with a point of discontinuity

DOI10.1134/S0012266119120024zbMath1444.34036OpenAlexW3005531872MaRDI QIDQ2187842

T. B. Gasymov, G. V. Maharramova, B. T. Bilalov

Publication date: 3 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266119120024

Mathematics Subject Classification ID

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

Related Items (2)

Recovering source term and temperature distribution for nonlocal heat equation ⋮ On the basicity of eigenfunctions of a second-order differential operator with a discontinuity point in weighted Lebesgue spaces

Cites Work

• Uniqueness for inverse Sturm-Liouville problems with a finite number of transmission conditions
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• 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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