G. V. Demidenko, I. I. Matveeva, “On the exponential stability of solutions to one class of differential equations of neutral type”, Sib. Zh. Ind. Mat., 2014, Volume 17, Number 3,Pages <nobr>59

This article is cited in 14 papers

On the exponential stability of solutions to one class of differential equations of neutral type

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

^a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We consider systems of delay differential equations of neutral type. New estimates are obtained that characterize the exponential decay rate of solutions at infinity.

Keywords: delay differential equation, exponential stability, Lyapunov–Krasovskii functional, estimate for solutions.

UDC: 517.929.4

Received: 07.06.2014