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Trudy Mat. Inst. Steklova, 2020, Volume 310, Pages 267–279 (Mi tm4112)  

Some Results on the Existence of Forced Oscillations in Mechanical Systems

Ivan Yu. Polekhin

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We present sufficient conditions for the existence of forced oscillations in nonautonomous mechanical systems. Previously, similar results have been obtained for systems with friction. The results presented here hold for systems both with and without friction. Some examples are given.

Funding Agency Grant Number
Russian Science Foundation 19-71-30012
This work is supported by the Russian Science Foundation under grant 19-71-30012.


DOI: https://doi.org/10.4213/tm4112

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English version:
Proceedings of the Steklov Institute of Mathematics, 2020, 310, 250–261

Bibliographic databases:

UDC: 517.925.42
Received: December 3, 2019
Revised: December 3, 2019
Accepted: May 26, 2020

Citation: Ivan Yu. Polekhin, “Some Results on the Existence of Forced Oscillations in Mechanical Systems”, Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Trudy Mat. Inst. Steklova, 310, Steklov Math. Inst., Moscow, 2020, 267–279; Proc. Steklov Inst. Math., 310 (2020), 250–261

Citation in format AMSBIB
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\paper Some Results on the Existence of Forced Oscillations in Mechanical Systems
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\bookinfo Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 310
\pages 267--279
\publ Steklov Math. Inst.
\publaddr Moscow
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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