Email this article Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients
- Authors: Matveeva I.I.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 13, No 3 (2019)
- Pages: 511-518
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213231
- DOI: https://doi.org/10.1134/S1990478919030116
- ID: 213231
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Abstract
We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov–Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential 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, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
