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.