This article is cited in 8 papers

Estimates for solutions to differential equations with delayed argument and parameters

I. I. Matveeva^ab, A. A. Shcheglova<sup>c

a</sup> Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
^b Novosibirsk State University, Novosibirsk, RUSSIA
^c Institute Systems Dynamics and Control Theory SB RAS, Irkutsk, RUSSIA

Abstract: We consider systems of quasilinear differential equations with delayed argument and periodic coefficients and parameters. We establish sufficient conditions for the asymptotic stability of zero solutions and obtain estimates for the solutions characterizing their decay rates at infinity.

Keywords: equations with delayed argument, periodic coefficients, asymptotic stability, Lyapunov–Krasovskii functional.

UDC: 517.929.4

Received: 01.04.2010

 English version: Journal of Applied and Industrial Mathematics, 2011, 5:3, 391–399

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