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Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms. / Demidenko, G. V.; Matveeva, I. I.; Skvortsova, M. A.
в: Siberian Mathematical Journal, Том 60, № 5, 01.09.2019, стр. 828-841.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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