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Avtomat. i Telemekh., 2014, Issue 3, Pages 3–13 (Mi at6671)  

This article is cited in 5 scientific papers (total in 5 papers)

Nonlinear Systems

On one integral Volterra model of developing dynamical systems

E. V. Markovaa, D. N. Sidorovabc

a Melentiev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
b Irkutsk State University, Irkutsk, Russia
c National Research Irkutsk State Technical University, Irkutsk, Russia

Abstract: We develop an approach for constructing continuous solutions of integral Volterra equations of the first kind that arise in modeling developing dynamical systems. We give existence theorems for the solutions and study their asymptotic behavior. Theoretical results are illustrated with numerical computations on test examples.

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English version:
Automation and Remote Control, 2014, 75:3, 413–421

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Presented by the member of Editorial Board: . . 

Received: 04.02.2013

Citation: E. V. Markova, D. N. Sidorov, “On one integral Volterra model of developing dynamical systems”, Avtomat. i Telemekh., 2014, no. 3, 3–13; Autom. Remote Control, 75:3 (2014), 413–421

Citation in format AMSBIB
\Bibitem{MarSid14}
\by E.~V.~Markova, D.~N.~Sidorov
\paper On one integral Volterra model of developing dynamical systems
\jour Avtomat. i Telemekh.
\yr 2014
\issue 3
\pages 3--13
\mathnet{http://mi.mathnet.ru/at6671}
\transl
\jour Autom. Remote Control
\yr 2014
\vol 75
\issue 3
\pages 413--421
\crossref{https://doi.org/10.1134/S0005117914030011}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899011488}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. D. N. Sidorov, A. N. Tynda, I. R. Muftakhov, “Chislennoe reshenie integralnykh uravnenii Volterra I roda s kusochno-nepreryvnymi yadrami”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 7:3 (2014), 107–115  mathnet  crossref
    2. I. R. Muftahov, D. N. Sidorov, “Solvability and numerical solutions of systems of nonlinear Volterra integral equations of the first kind with piecewise continuous kernels”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 9:1 (2016), 130–136  mathnet  crossref  elib
    3. I. Muftahov, A. Tynda, D. Sidorov, “Numeric solution of Volterra integral equations of the first kind with discontinuous kernels”, J. Comput. Appl. Math., 313 (2017), 119–128  crossref  mathscinet  zmath  isi  elib  scopus
    4. I. M. Kulikovskikh, “Meixner nonorthogonal filters”, Autom. Remote Control, 79:8 (2018), 1458–1473  mathnet  crossref  isi  elib
    5. D. Sidorov, A. Tynda, I. Muftahov, A. Dreglea, F. Liu, “Nonlinear systems of volterra equations with piecewise smooth kernels: numerical solution and application for power systems operation”, Mathematics, 8:8 (2020), 1257  crossref  isi  scopus
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