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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 1, Pages 101–117 (Mi sjvm461)  
This article is cited in 3 scientific papers (total in 3 papers)

Iterative algorithm of defining the stability of oscillations equation with damping

V. I. Tarakanov, S. A. Lysenkova

Surgut State University, Surgut
Full-text PDF (476 kB) Citations (3)
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Abstract: The problem of studying parametric oscillations with damping is reduced to a spectral problem for a linear bunch of operators in the Hilbert space. Such spectral problem has an efficient algorithm of its solution. The boundaries of the first stability domain for different values of the damping factor and a special form of the periodic function being a part of the equation have been calculated.
Key words: operator, spectrum, iterative algorithm, parametric vibration, stability.
Received: 23.12.2010
Revised: 26.04.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 1, Pages 84–98
DOI: https://doi.org/10.1134/S1995423912010089
Bibliographic databases:
Document Type: Article
UDC: 519.632.6+519.624.2+519.642
Language: Russian
Citation: V. I. Tarakanov, S. A. Lysenkova, “Iterative algorithm of defining the stability of oscillations equation with damping”, Sib. Zh. Vychisl. Mat., 15:1 (2012), 101–117; Num. Anal. Appl., 5:1 (2012), 84–98
Citation in format AMSBIB
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\by V.~I.~Tarakanov, S.~A.~Lysenkova
\paper Iterative algorithm of defining the stability of oscillations equation with damping
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 1
\pages 101--117
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\elib{https://elibrary.ru/item.asp?id=17979257}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 1
\pages 84--98
\crossref{https://doi.org/10.1134/S1995423912010089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857887702}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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