Construction of an asymptotically periodic solution to one nonstationary system with delay

B. G. Grebenshchikov

Ural State University

Abstract: In this paper we consider an ensemble of two subsystems of linear differential equations with constant delay. One of the subsystems contains an exponential multiplier in its right-hand side. We construct an asymptotically periodic solution of this system.

Keywords: trigonometric series, stability, asymptotically periodic solution.

UDC: 517.929

Received: 03.07.2006
Revised: 28.11.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:2, 30–40

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