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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1059–1077
(Mi smj2588)
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This article is cited in 32 scientific papers (total in 32 papers)
On estimates of solutions to systems of differential equations of neutral type with periodic coefficients
G. V. Demidenkoab, I. I. Matveevaab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We study the systems of differential equations of neutral type with periodic coefficients. We establish sufficient conditions for the asymptotic stability of the zero solution and obtain estimates for solutions which characterize the decay rate at infinity.
Keywords:
delay differential equations, periodic solutions, exponential stability, Lyapunov–Krasovskiĭ functional, estimates for solutions.
Received: 14.03.2014
Citation:
G. V. Demidenko, I. I. Matveeva, “On estimates of solutions to systems of differential equations of neutral type with periodic coefficients”, Sibirsk. Mat. Zh., 55:5 (2014), 1059–1077; Siberian Math. J., 55:5 (2014), 866–881
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https://www.mathnet.ru/eng/smj2588 https://www.mathnet.ru/eng/smj/v55/i5/p1059
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Abstract page: | 420 | Full-text PDF : | 110 | References: | 56 | First page: | 13 |
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