This article is cited in 2 papers

The asymptotic stability of a nonstationary system with delay

B. G. Grebenshchikov

Chair of Applied Mathematics, Ural Federal University, 19 Mira str., Ekaterinburg, 620002 Russia

Abstract: In this paper we study the exponential stability of a linear system of differential equations with a constant delay such that the right-hand side of one of its subsystems contains the multiplier in the form of an exponent. We establish sufficient conditions for the existence of an asymptotically periodic solution to the inhomogeneous system.

Keywords: asymptotic stability, exponential bound, asymptotically periodic solution.

UDC: 517.977

Received: 02.05.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:8, 20–28

Bibliographic databases:

•