On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition

DOI10.1134/S0012266112100035zbMath1266.34136OpenAlexW2052699213MaRDI QIDQ1935409

N. Yu. Kapustin

Publication date: 15 February 2013

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

Full work available at URL: https://doi.org/10.1134/s0012266112100035

zbMATH Keywords

completenesssystem of root functionsminimalityspectral problem

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 (7)

On the multiple spectrum of a problem for the Bessel equation with squared spectral parameter in the boundary condition ⋮ On a problem with a boundary condition of the second kind, a complex-valued coefficient, and a spectral parameter in the other boundary condition ⋮ Basis property of the system of root functions of a classical spectral problem with a multiple eigenvalue ⋮ On an inhomogeneous problem for parabolic-hyperbolic equation ⋮ Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load ⋮ On the multiple spectrum of a problem for the Bessel equation ⋮ Basis properties of root functions of differential operators with spectral parameter in the boundary conditions

Cites Work

• Some spectral properties of a boundary value problem with a spectral parameter in the boundary condition
• On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition
• On the basis property of a system of eigenfunctions of a nonlinear spectral problem
• On coefficients of eigenfunction expansions for boundary-value problems with a parameter in the boundary conditions
• On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a classical problem with a complex-valued coefficient and the spectral parameter in a boundary condition