BASIS PROPERTY OF ROOT FUNCTIONS OF SOME EIGENVALUE PROBLEMWITH SPECTRAL PARAMETER CONTAINED IN THE BOUNDARY CONDITION

In this paper, we consider the boundary value problem which describes the small bending vibrations of homogeneous beam in cross-sections of which the longitudinal force acts, the left end of which is fixed, and the mass is concentrated on the right end.The oscillatory properties of eigenfunctions are studied and the basis property inof the system of root functions without one arbitrary remote function is established.

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Publication Details

Published
2025-01-01
DOI
https://doi.org/10.30546/209501.101.2024.1.3.038
Primary Topic
Differential Equations and Boundary Problems
Type
article
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BASIS PROPERTY OF ROOT FUNCTIONS OF SOME EIGENVALUE PROBLEMWITH SPECTRAL PARAMETER CONTAINED IN THE BOUNDARY CONDITION

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Differential Equations and Boundary Problems
article

BASIS PROPERTY OF ROOT FUNCTIONS OF SOME EIGENVALUE PROBLEMWITH SPECTRAL PARAMETER CONTAINED IN THE BOUNDARY CONDITION

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Abstract

In this paper, we consider the boundary value problem which describes the small bending vibrations of homogeneous beam in cross-sections of which the longitudinal force acts, the left end of which is fixed, and the mass is concentrated on the right end.The oscillatory properties of eigenfunctions are studied and the basis property inof the system of root functions without one arbitrary remote function is established.

Baku State University (AZ)
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Differential Equations and Boundary Problems
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BASIS PROPERTY OF ROOT FUNCTIONS OF SOME EIGENVALUE PROBLEMWITH SPECTRAL PARAMETER CONTAINED IN THE BOUNDARY CONDITION · (2025) | TGRS Research Map | TGRS