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On the exponential stability of solutions of periodic systems of the neutral type with several delays. / Matveeva, I. I.

In: Differential Equations, Vol. 53, No. 6, 01.06.2017, p. 725-735.

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Matveeva II. On the exponential stability of solutions of periodic systems of the neutral type with several delays. Differential Equations. 2017 Jun 1;53(6):725-735. doi: 10.1134/S0012266117060039

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@article{d23a14b42bb442f19500c606052a5681,
title = "On the exponential stability of solutions of periodic systems of the neutral type with several delays",
abstract = "We obtain conditions for the exponential stability of the zero solution of linear periodic systems of differential equations of the neutral type with several constant delays, which are stated in terms of a Lyapunov–Krasovskii functional of a special form. We derive estimates that specify the decay rate of solutions at infinity.",
author = "Matveeva, {I. I.}",
year = "2017",
month = jun,
day = "1",
doi = "10.1134/S0012266117060039",
language = "English",
volume = "53",
pages = "725--735",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "6",

}

RIS

TY - JOUR

T1 - On the exponential stability of solutions of periodic systems of the neutral type with several delays

AU - Matveeva, I. I.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - We obtain conditions for the exponential stability of the zero solution of linear periodic systems of differential equations of the neutral type with several constant delays, which are stated in terms of a Lyapunov–Krasovskii functional of a special form. We derive estimates that specify the decay rate of solutions at infinity.

AB - We obtain conditions for the exponential stability of the zero solution of linear periodic systems of differential equations of the neutral type with several constant delays, which are stated in terms of a Lyapunov–Krasovskii functional of a special form. We derive estimates that specify the decay rate of solutions at infinity.

UR - http://www.scopus.com/inward/record.url?scp=85023766121&partnerID=8YFLogxK

U2 - 10.1134/S0012266117060039

DO - 10.1134/S0012266117060039

M3 - Article

AN - SCOPUS:85023766121

VL - 53

SP - 725

EP - 735

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 6

ER -

ID: 10093619