Siberian Mathematical Journal

, Volume 48, Issue 5, pp 824–836 | Cite as

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

Article
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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-Krasovskiĭ functional 
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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia

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