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Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients. / Matveeva, Inessa I.

In: Electronic Journal of Differential Equations, Vol. 2020, No. 20, 20, 01.01.2020, p. 1-12.

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@article{8deb22c83f8c497f85cf038cbacdd2ae,
title = "Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients",
abstract = "We consider a class of nonlinear time-varying delay systems of neutral type differential equations with periodic coefficients in the linear terms, [formula presented] where A(t), B(t), C(t) are T-periodic matrices, and (formula presented) We obtain conditions for the exponential stability of the zero solution and estimates for the exponential decay of the solutions at infinity.",
keywords = "Exponential stability, Neutral equation, Periodic coefficient, Time-varying delay equation, periodic coefficient, neutral equation, DIFFERENTIAL-EQUATIONS, exponential stability",
author = "Matveeva, {Inessa I.}",
year = "2020",
month = jan,
day = "1",
language = "English",
volume = "2020",
pages = "1--12",
journal = "Electronic Journal of Differential Equations",
issn = "1072-6691",
publisher = "Texas State University - San Marcos",
number = "20",

}

RIS

TY - JOUR

T1 - Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients

AU - Matveeva, Inessa I.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - We consider a class of nonlinear time-varying delay systems of neutral type differential equations with periodic coefficients in the linear terms, [formula presented] where A(t), B(t), C(t) are T-periodic matrices, and (formula presented) We obtain conditions for the exponential stability of the zero solution and estimates for the exponential decay of the solutions at infinity.

AB - We consider a class of nonlinear time-varying delay systems of neutral type differential equations with periodic coefficients in the linear terms, [formula presented] where A(t), B(t), C(t) are T-periodic matrices, and (formula presented) We obtain conditions for the exponential stability of the zero solution and estimates for the exponential decay of the solutions at infinity.

KW - Exponential stability

KW - Neutral equation

KW - Periodic coefficient

KW - Time-varying delay equation

KW - periodic coefficient

KW - neutral equation

KW - DIFFERENTIAL-EQUATIONS

KW - exponential stability

UR - http://www.scopus.com/inward/record.url?scp=85079858179&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85079858179

VL - 2020

SP - 1

EP - 12

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

IS - 20

M1 - 20

ER -

ID: 23666177