Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients


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We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov–Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential 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, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090

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