On one integral Volterra model of developing dynamical systems

E. V. Markova; D. N. Sidorov

doi:10.1134/S0005117914030011

On one integral Volterra model of developing dynamical systems

E. V. Markova
, D. N. Sidorov

Melent'ev Institute of Power Engineering Systems
Irkutsk State University
Irkutsk National Research Technical University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Pages (from-to)	413-421
Number of pages	9
Journal	Automation and Remote Control
Volume	75
Issue number	3
DOIs	https://doi.org/10.1134/S0005117914030011
State	Published - 2014
Externally published	Yes

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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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JO - Automation and Remote Control

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On one integral Volterra model of developing dynamical systems

Abstract

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