G. V. Demidenko, I. I. Matveeva, “On estimates of solutions to systems of differential equations of neutral type with periodic coefficients”, Sibirsk. Mat. Zh., 2014, Volume 55, Number 5,Pages <nobr>1059

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On estimates of solutions to systems of differential equations of neutral type with periodic coefficients

G. V. Demidenko^ab, I. I. Matveeva^ab

^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.

UDC: 517.929.4

Received: 14.03.2014