Email this article On the exponential stability of solutions of periodic systems of the neutral type with several delays
- Authors: Matveeva I.I.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 53, No 6 (2017)
- Pages: 725-735
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154419
- DOI: https://doi.org/10.1134/S0012266117060039
- ID: 154419
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Abstract
We obtain conditions for the exponential stability of the zero solution of linear periodic systems of differential equations of the neutral type with several constant delays, which are stated in terms of a Lyapunov–Krasovskii functional of a special form. We derive estimates that specify the decay rate of solutions at infinity.
About the authors
I. I. Matveeva
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: matveeva@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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