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

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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.

In: Computational Mathematics and Mathematical Physics, Vol. 60, No. 4, 01.04.2020, p. 601-609.

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

BibTeX

@article{152be9a845d04d98bdbceeb792539333,

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.",

keywords = "estimates of solutions, exponential stability, Lyapunov–Krasovskii functional, systems of neutral type",

author = "Matveeva, {I. I.}",

year = "2020",

month = apr,

day = "1",

doi = "10.1134/S0965542520040120",

language = "English",

volume = "60",

pages = "601--609",

journal = "Computational Mathematics and Mathematical Physics",

issn = "0965-5425",

publisher = "PLEIADES PUBLISHING INC",

number = "4",

}

RIS

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

UR - http://www.scopus.com/inward/record.url?scp=85086173116&partnerID=8YFLogxK

U2 - 10.1134/S0965542520040120

DO - 10.1134/S0965542520040120

M3 - Article

AN - SCOPUS:85086173116

VL - 60

SP - 601

EP - 609

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 4

ER -

ID: 24517528