E. V. Markova, D. N. Sidorov, “On one integral Volterra model of developing dynamical systems”, Avtomat. i Telemekh., 2014, Issue 3,Pages <nobr>3

This article is cited in 9 papers

Nonlinear Systems

On one integral Volterra model of developing dynamical systems

E. V. Markova^a, D. N. Sidorov^abc

^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.

Presented by the member of Editorial Board: V. I. Gurman

Received: 04.02.2013