This article is cited in 10 papers

The first-approximation stability of a nonstationary system with delay

B. G. Grebenshchikov

Chair of Applied Mathematics, Ural Federal University, Ekaterinburg, Russia

Abstract: We study the exponential stability of a nonlinear system of differential equations with constant delay such that the right-hand side of one of its subsystems contains the multiplier $e^t$. We obtain a sufficient condition for the first-approximation stability of this system.

Keywords: instability, asymptotic stability, exponential estimation, first approximation.

UDC: 517.977

Received: 28.02.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:2, 29–36

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