Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients
- Autores: Matveeva I.I.1,2
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Afiliações:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Edição: Volume 13, Nº 3 (2019)
- Páginas: 511-518
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213231
- DOI: https://doi.org/10.1134/S1990478919030116
- ID: 213231
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Resumo
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.
Sobre autores
I. Matveeva
Sobolev Institute of Mathematics; Novosibirsk State University
Autor responsável pela correspondência
Email: matveeva@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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