This article is cited in 26 papers

On exponential stability of solutions to periodic neutral-type systems

I. I. Matveeva<sup>ab

a</sup> Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: We consider periodic systems of delay equations. Exponential stability conditions for the zero solution are pointed out by using the Lyapunov–Krasovskiĭ functional. We give some estimates that characterize the decay rate of solutions at infinity.

Keywords: delay differential equation, periodic coefficient, exponential stability, estimate of solutions.

UDC: 517.929.4

MSC: 35R30

Received: 15.04.2016

DOI: 10.17377/smzh.2017.58.208

 English version: Siberian Mathematical Journal, 2017, 58:2, 264–270

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