Stability of solutions to systems of differential equations with distributed delay

T. Yskak

Abstract


We consider a class of linear systems of differential equations with distributed delay and periodic coefficients. We establish sufficient conditions for the asymptotic stability of solutions to this system, obtain estimates of solutions, study robust stability. On the basis of the obtained results we prove an analogue of the Krein's theorem on stability of solutions to linear system of differential equations with distributed delay.

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