Standard

Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms. / Demidenko, G. V.; Matveeva, I. I.; Skvortsova, M. A.

In: Siberian Mathematical Journal, Vol. 60, No. 5, 01.09.2019, p. 828-841.

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

Harvard

Demidenko, GV, Matveeva, II & Skvortsova, MA 2019, 'Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms', Siberian Mathematical Journal, vol. 60, no. 5, pp. 828-841. https://doi.org/10.1134/S0037446619050069

APA

Demidenko, G. V., Matveeva, I. I., & Skvortsova, M. A. (2019). Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms. Siberian Mathematical Journal, 60(5), 828-841. https://doi.org/10.1134/S0037446619050069

Vancouver

Demidenko GV, Matveeva II, Skvortsova MA. Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms. Siberian Mathematical Journal. 2019 Sept 1;60(5):828-841. doi: 10.1134/S0037446619050069

Author

Demidenko, G. V. ; Matveeva, I. I. ; Skvortsova, M. A. / Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms. In: Siberian Mathematical Journal. 2019 ; Vol. 60, No. 5. pp. 828-841.

BibTeX

@article{cd39c7b47ecf453ea3e6dcf2ef2f0b77,
title = "Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms",
abstract = "Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.",
keywords = "attraction domain, differential equation of neutral type, exponential stability, Lyapunov-Krasovskii functional, periodic coefficient",
author = "Demidenko, {G. V.} and Matveeva, {I. I.} and Skvortsova, {M. A.}",
note = "Publisher Copyright: {\textcopyright} 2019, Pleiades Publishing, Inc. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
month = sep,
day = "1",
doi = "10.1134/S0037446619050069",
language = "English",
volume = "60",
pages = "828--841",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "5",

}

RIS

TY - JOUR

T1 - Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms

AU - Demidenko, G. V.

AU - Matveeva, I. I.

AU - Skvortsova, M. A.

N1 - Publisher Copyright: © 2019, Pleiades Publishing, Inc. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.

AB - Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.

KW - attraction domain

KW - differential equation of neutral type

KW - exponential stability

KW - Lyapunov-Krasovskii functional

KW - periodic coefficient

UR - http://www.scopus.com/inward/record.url?scp=85073251789&partnerID=8YFLogxK

U2 - 10.1134/S0037446619050069

DO - 10.1134/S0037446619050069

M3 - Article

AN - SCOPUS:85073251789

VL - 60

SP - 828

EP - 841

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 21859971