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

2 Цитирования (Scopus)

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

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА
1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ

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10.1134/S0965542520040120

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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

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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.

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

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JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

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