Uniform Convergence of Spectral Expansions in the Terms of Root Functions of a Spectral Problem for the Equation of a Vibrating Beam

Uniform Convergence of Spectral Expansions in the Terms of Root Functions of a Spectral Problem for the Equation of a Vibrating Beam

Year:    2021

Author:    Ziyatkhan S. Aliyev, Konul F. Abdullayeva

Journal of Mathematical Study, Vol. 54 (2021), Iss. 4 : pp. 435–450

Abstract

In this paper we consider a spectral problem which describes bending vibrations of a homogeneous rod, in cross-sections of which the longitudinal force acts, the left end of which is fixed rigidly and on the right end is concentrated an elastically fixed load. We study the uniform convergence of spectral expansions in terms of root functions of this problem.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v54n4.21.08

Journal of Mathematical Study, Vol. 54 (2021), Iss. 4 : pp. 435–450

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Ordinary differential equations of fourth order bending vibrations of a homogeneous rod root functions uniform convergence of spectral expansions.

Author Details

Ziyatkhan S. Aliyev

Konul F. Abdullayeva