Estimates for Exponential Decay of Solutions to One Class of Nonlinear Systems of Neutral Type with Periodic Coefficients

I. I. Matveeva

doi:10.1134/S0965542520040120

Estimates for Exponential Decay of Solutions to One Class of Nonlinear Systems of Neutral Type with Periodic Coefficients

I. I. Matveeva

Differential Equations Section

Research output: Contribution to journal › Article › peer-review

Abstract

The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.

Original language	English
Pages (from-to)	601-609
Number of pages	9
Journal	Computational Mathematics and Mathematical Physics
Volume	60
Issue number	4
DOIs	https://doi.org/10.1134/S0965542520040120
Publication status	Published - 1 Apr 2020

Keywords

estimates of solutions
exponential stability
Lyapunov–Krasovskii functional
systems of neutral type

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title = "Estimates for Exponential Decay of Solutions to One Class of Nonlinear Systems of Neutral Type with Periodic Coefficients",

abstract = "The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.",

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T1 - Estimates for Exponential Decay of Solutions to One Class of Nonlinear Systems of Neutral Type with Periodic Coefficients

AU - Matveeva, I. I.

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N2 - The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.

AB - The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.

KW - estimates of solutions

KW - exponential stability

KW - Lyapunov–Krasovskii functional

KW - systems of neutral type

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EP - 609

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

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