On the exponential stability of solutions of periodic systems of the neutral type with several delays
- Авторы: Matveeva I.I.1,2
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Учреждения:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Выпуск: Том 53, № 6 (2017)
- Страницы: 725-735
- Раздел: 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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Аннотация
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.
Об авторах
I. Matveeva
Sobolev Institute of Mathematics; Novosibirsk State University
Автор, ответственный за переписку.
Email: matveeva@math.nsc.ru
Россия, Novosibirsk, 630090; Novosibirsk, 630090
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