On the multiple spectrum of a problem for the Bessel equation of an integer order with squared spectral parameter in the boundary condition

DOI10.1134/s00122661230100117OpenAlexW4388934518MaRDI QIDQ6148158

N. Yu. Kapustin

Publication date: 11 January 2024

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

Full work available at URL: https://doi.org/10.1134/s00122661230100117

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• On the multiple spectrum of a problem for the Bessel equation with spectral parameter in the boundary condition
• On two spectral problems with the same characteristic equation
• On the spectral problem arising in the solution of a mixed problem for the heat equation with a mixed derivative in the boundary condition
• On the multiple spectrum of a problem for the Bessel equation with squared spectral parameter in the boundary condition
• On the multiple spectrum of a problem for the Bessel equation
• The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition