Email this article Methods for studying the asymptotic properties of systems with two linear delays
- Authors: Grebenshchikov B.G.1,2, Lozhnikov A.B.1,2
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Affiliations:
- Ural Federal University
- Institute for Mathematics and Mechanics
- Issue: Vol 52, No 1 (2016)
- Pages: 1-17
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/153597
- DOI: https://doi.org/10.1134/S0012266116010018
- ID: 153597
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Abstract
We study methods for the instability analysis of neutral-type systems with two delays linearly depending on the argument. In the case of instability of the neutral part of a system with constant coefficients, we suggest a stabilization algorithm. In addition, by using the Laplace transform, we obtain sufficient conditions for the instability of the solution of a given system.
About the authors
B. G. Grebenshchikov
Ural Federal University; Institute for Mathematics and Mechanics
Email: ABLozhnikov@yandex.ru
Russian Federation, Yekaterinburg; Yekaterinburg
A. B. Lozhnikov
Ural Federal University; Institute for Mathematics and Mechanics
Author for correspondence.
Email: ABLozhnikov@yandex.ru
Russian Federation, Yekaterinburg; Yekaterinburg
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