Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms


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Abstract

Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.

About the authors

G. V. Demidenko

Sobolev Institute of Mathematics

Author for correspondence.
Email: demidenk@math.nsc.ru
Russian Federation, Novosibirsk

I. I. Matveeva

Sobolev Institute of Mathematics

Author for correspondence.
Email: matveeva@math.nsc.ru
Russian Federation, Novosibirsk

M. A. Skvortsova

Sobolev Institute of Mathematics

Author for correspondence.
Email: sm-18-nsu@yandex.ru
Russian Federation, Novosibirsk


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