Convergence of Eigenfunction Expansionsfor a Boundary Value Problem with SpectralParameter in the Boundary Conditions. II

Convergence of Eigenfunction Expansionsfor a Boundary Value Problem with SpectralParameter in the Boundary Conditions. II

We consider a spectral problem arising in the description of bending vibrations of a homogeneous rod with a longitudinal force acting in the cross sections, with clamped left end, and with a lumped inertial load at the right end. The uniform convergence of expansions in the eigenfunctions of this pr...

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Veröffentlicht in:Differential equations 2020-01, Vol.56 (3), p.277-289
Hauptverfasser: Aliyev, Z S, Kerimov, N B, Mehrabov, V A
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Boundary value problems
Convergence
Differential equations
Eigenvectors
Mathematics
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Zusammenfassung:We consider a spectral problem arising in the description of bending vibrations of a homogeneous rod with a longitudinal force acting in the cross sections, with clamped left end, and with a lumped inertial load at the right end. The uniform convergence of expansions in the eigenfunctions of this problem is studied.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266120030015