On a problem with a boundary condition of the second kind, a complex-valued coefficient, and a spectral parameter in the other boundary condition

DOI10.1134/S0012266114100140zbMath1310.34110OpenAlexW1978338665MaRDI QIDQ486298

N. Yu. Kapustin

Publication date: 15 January 2015

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

Full work available at URL: https://doi.org/10.1134/s0012266114100140

zbMATH Keywords

completenessbasis propertyroot functionsminimality

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations (34B05) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

An inverse problem for Sturm-Liouville operators with non-separated boundary conditions containing the spectral parameter ⋮ The system of root functions is a basis in a problem with a multiple eigenvalue ⋮ On an inhomogeneous problem for parabolic-hyperbolic equation

Cites Work

• Unnamed Item
• On the uniform convergence of spectral expansions for a spectral problem with boundary conditions of the third kind one of which contains the spectral parameter
• On coefficients of eigenfunction expansions for boundary-value problems with a parameter in the boundary conditions
• On a classical problem with a complex-valued coefficient and the 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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