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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2007 Volume 48, Number 5, Pages 1025–1040 (Mi smj1786)

This article is cited in 60 papers

Stability of solutions to delay differential equations with periodic coefficients of linear terms

G. V. Demidenko, I. I. Matveeva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: Under study are the systems of quasilinear delay differential equations with periodic coefficients of linear terms. We establish sufficient conditions for the asymptotic stability of the zero solution, obtain estimates for solutions which characterize the decay rate at infinity, and find the attractor of the zero solution. Similar results are obtained for systems with parameters.

Keywords: delay differential equation, periodic coefficients, asymptotic stability, Lyapunov–Krasovskii functional.

UDC: 517.929.4

Received: 18.04.2007


 English version:
Siberian Mathematical Journal, 2007, 48:5, 824–836

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