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Avtomatika i Telemekhanika, 2014, Issue 3, Pages 3–13
(Mi at6671)
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This article is cited in 9 scientific papers (total in 9 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.
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
Linking options:
https://www.mathnet.ru/eng/at6671 https://www.mathnet.ru/eng/at/y2014/i3/p3
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