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

Authors

  • Ziyatkhan S. Aliyev Department of Mathematical Analysis, Faculty of Mechanics and Mathematics, Baku State University, AZ1148 Baku, Azerbaijan
  • Konul F. Abdullayeva Department of Mathematical Analysis and Theory of Functions, Faculty of Mathematics, Sumgait State University, Sumgait AZ5008, Azerbaijan

DOI:

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

Keywords:

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

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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Published

2021-06-29

Issue

Vol. 54 No. 4 (2021)

Section

Articles