Estimates for Solutions of One Class of Nonlinear Neutral Type Systems with Several Delays


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Abstract

We consider a class of systems of nonlinear differential equations of neutral type with several delays. We obtain conditions of exponential stability of the zero solution and establish estimates characterizing the exponential decay rate of solutions at infinity. Bibliography: 14 titles.

About the authors

G. V. Demidenko

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Author for correspondence.
Email: demidenk@math.nsc.ru
Russian Federation, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090

I. I. Matveeva

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Email: demidenk@math.nsc.ru
Russian Federation, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090


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