Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I

DOI10.1134/S0012266120020019zbMath1444.34035OpenAlexW3012468216MaRDI QIDQ2185074

Ziyatkhan S. Aliyev, Vuqar A. Mehrabov, Nazim B. Kerimov

Publication date: 4 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266120020019

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (11)

Uniform convergence of the Fourier series expansions in the subsystems of root functions of some spectral problem for ordinary differential equations of fourth order ⋮ Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions ⋮ Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. II ⋮ Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems ⋮ The spectral properties of a two-term fourth-order operator with a spectral parameter in the boundary condition ⋮ Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the uniform convergence of Fourier series expansions in the system of eigenfunctions of the equation of a vibrating rod at one end of which the mass is concentrated ⋮ Uniform convergence of spectral expansions for a problem with a boundary condition depending on a spectral parameter ⋮ Spectral properties of a fourth-order differential operator with eigenvalue parameter-dependent boundary conditions

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