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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 1, Pages 63–70 (Mi sjvm499)  
This article is cited in 2 scientific papers (total in 2 papers)

On constructing the generally periodical solutions of a complicated structure of a non-autonomous system of differential equations

A. N. Pchelintsev

Tambov State Technical University, Tambov
Full-text PDF (189 kB) Citations (2)
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Abstract: In this paper, a numerical scheme of constructing approximate generally periodical solutions of a complicatedtructure of a non-autonomous system of ordinary differential equations with the periodical right-hand sides on the surface of a torus is considered. The existence of such solutions as well as convergence of the method of successive approximations are shown. There are given results of the computational experiment.
Key words: generally-periodical solution, system of ordinary differential equations, Fourier series, almost periodical solution, irrational winding of torus.
Received: 14.11.2011
Revised: 27.12.2011
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 1, Pages 54–61
DOI: https://doi.org/10.1134/S1995423913010072
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: A. N. Pchelintsev, “On constructing the generally periodical solutions of a complicated structure of a non-autonomous system of differential equations”, Sib. Zh. Vychisl. Mat., 16:1 (2013), 63–70; Num. Anal. Appl., 6:1 (2013), 54–61
Citation in format AMSBIB
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\paper On constructing the generally periodical solutions of a~complicated structure of a~non-autonomous system of differential equations
\jour Sib. Zh. Vychisl. Mat.
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\vol 16
\issue 1
\pages 63--70
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\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 1
\pages 54--61
\crossref{https://doi.org/10.1134/S1995423913010072}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874799885}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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