On the exponential stability of solutions of periodic systems of the neutral type with several delays


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We obtain conditions for the exponential stability of the zero solution of linear periodic systems of differential equations of the neutral type with several constant delays, which are stated in terms of a Lyapunov–Krasovskii functional of a special form. We derive estimates that specify the decay rate of solutions at infinity.

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I. Matveeva

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: matveeva@math.nsc.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090

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