G. V. Demidenko, I. I. Matveeva, “Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2014, Volume 14, Issue 4,Pages <nobr>32

This article is cited in 1 paper

Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays

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

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: We consider a class of systems of nonlinear differential equations of neutral type with several delays. We obtain conditions of exponential stability of the zero solution and establish estimates characterizing exponential decay rate of solutions at infinity.

Keywords: systems of neutral type, several delays, exponential stability, Lyapunov–Krasovskii functional, estimates for solutions.

UDC: 517.929.4

Received: 09.11.2014