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On one integral Volterra model of developing dynamical systems

  • Nonlinear Systems
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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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Authors and Affiliations

  1. Melentiev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

    E. V. Markova & D. N. Sidorov

  2. Irkutsk State University, Irkutsk, Russia

    D. N. Sidorov

  3. National Research Irkutsk State Technical University, Irkutsk, Russia

    D. N. Sidorov

Authors
  1. E. V. Markova
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  2. D. N. Sidorov
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Correspondence to E. V. Markova.

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Original Russian Text © E.V. Markova, D.N. Sidorov, 2014, published in Avtomatika i Telemekhanika, 2014, No. 3, pp. 3–13.

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Markova, E.V., Sidorov, D.N. On one integral Volterra model of developing dynamical systems. Autom Remote Control 75, 413–421 (2014). https://doi.org/10.1134/S0005117914030011

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