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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 315–323 (Mi smj2535)  

This article is cited in 3 scientific papers (total in 3 papers)

Local dynamics of an equation with large delay and distributed deviation of the space variable

I. S. Kashchenkoa, S. A. Kashchenkoab

a Demidov Yaroslavl State University, Yaroslavl, Russia
b National Research Nuclear University "MEPhI", Moscow, Russia
Full-text PDF (278 kB) Citations (3)
References:
Abstract: We study the local dynamics in a neighborhood of an equilibrium state for an equation with delay in time and integral distribution in the space variable. In the close-to-critical cases depending on the relation between the small parameters, we construct special equations – quasinormal forms, describing the behavior of solutions to the initial problem.
Keywords: local dynamics, delay, deviation of the space variable, small parameter, quasinormal form.
Received: 30.11.2011
Revised: 05.12.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 2, Pages 254–261
DOI: https://doi.org/10.1134/S0037446614020086
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: I. S. Kashchenko, S. A. Kashchenko, “Local dynamics of an equation with large delay and distributed deviation of the space variable”, Sibirsk. Mat. Zh., 55:2 (2014), 315–323; Siberian Math. J., 55:2 (2014), 254–261
Citation in format AMSBIB
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\paper Local dynamics of an equation with large delay and distributed deviation of the space variable
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\vol 55
\issue 2
\pages 315--323
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\transl
\jour Siberian Math. J.
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\pages 254--261
\crossref{https://doi.org/10.1134/S0037446614020086}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899699423}
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  • https://www.mathnet.ru/eng/smj/v55/i2/p315
  • 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
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:364
    Full-text PDF :94
    References:64
    First page:14
     
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