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

Кафедра дифференциальных уравнений ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	601-609
Число страниц	9
Журнал	Computational Mathematics and Mathematical Physics
Том	60
Номер выпуска	4
DOI	https://doi.org/10.1134/S0965542520040120
Состояние	Опубликовано - 1 апр 2020

Доступ к документу

10.1134/S0965542520040120

Link to publication in Scopus

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Estimates for Exponential Decay of Solutions to One Class of Nonlinear Systems of Neutral Type with Periodic Coefficients. / Matveeva, I. I.

В: Computational Mathematics and Mathematical Physics, Том 60, № 4, 01.04.2020, стр. 601-609.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

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

AU - Matveeva, I. I.

PY - 2020/4/1

Y1 - 2020/4/1

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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DO - 10.1134/S0965542520040120

M3 - Article

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JO - Computational Mathematics and Mathematical Physics

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