FORCED STRING OSCILLATIONS UNDER THE INFLUENCE OF CONTINUOUS FORCE AND FORCES OF IMPULSE NATURE

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Published Apr 30, 2022
https://doi.org/10.17605/OSF.IO/QWPT6
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Vol. 8 No. 04 (2022): Journal Nx

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Elgondiev K.
Candidate of Physical and Mathematical Sciences, Associate Professor Karakalpak State University named after Berdakh, Faculty of Mathematics, Department of Differential Equations
Kutlumuratova Y.
Karakalpak State University named after Berdakh, Faculty of Mathematics, 2nd year undergraduate at the Department of Differential Equations

Abstract

The string oscillations of finite length with fixed ends, under the influence of a continuous force and forces of impulsive nature arising at some fixed moments of time are investigated.The mathematical model of such an oscillatory process is a string oscillation equation with homogeneous boundary conditions, inhomogeneous initial conditions and the condition of impulse action at fixed points of time.This work gives the solution of this problem in the form of a series on eigenfunctions of the Sturm-Louiville problem, the conditions under which the obtained series converges uniformly are specified.


 

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How to Cite
Elgondiev K., & Kutlumuratova Y. (2022). FORCED STRING OSCILLATIONS UNDER THE INFLUENCE OF CONTINUOUS FORCE AND FORCES OF IMPULSE NATURE. JournalNX - A Multidisciplinary Peer Reviewed Journal, 8(04), 220–223. https://doi.org/10.17605/OSF.IO/QWPT6