Basis property of the system of root functions of a classical spectral problem with a multiple eigenvalue

DOI10.1134/S0012266118100117zbMath1412.34233OpenAlexW2900474001MaRDI QIDQ1734719

N. Yu. Kapustin

Publication date: 27 March 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266118100117

zbMATH Keywords

root functionsmultiple eigenvalueloaded string

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (2)

Basis properties of root functions of differential operators with spectral parameter in the boundary conditions ⋮ Statements of linearized boundary value problems of continuum mechanics with a spectral parameter in the boundary conditions

Cites Work

• 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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