Estimates for solutions to one class of nonlinear delay differential equations

I. I. Matveeva

Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 122-132.

Résumé

We consider systems of nonlinear delay differential equations with periodic coefficients in the linear terms. Sufficient conditions for the asymptotic stability of the zero solution are established. We obtain estimates characterizing the decay of solutions at infinity and describe the attraction sets for the zero solution.

Détail

Keywords: delay differential equations, periodic coefficients, asymptotic stability, Lyapunov–Krasovskii functional, estimates for solutions, attraction set.

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