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Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays. / Matveeva, I. I.

In: Сибирские электронные математические известия, Vol. 18, No. 2, 62, 2021, p. 1689-1697.

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

Harvard

Matveeva, II 2021, 'Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays', Сибирские электронные математические известия, vol. 18, no. 2, 62, pp. 1689-1697. https://doi.org/10.33048/SEMI.2021.18.128

APA

Matveeva, I. I. (2021). Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays. Сибирские электронные математические известия, 18(2), 1689-1697. [62]. https://doi.org/10.33048/SEMI.2021.18.128

Vancouver

Matveeva II. Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays. Сибирские электронные математические известия. 2021;18(2):1689-1697. 62. doi: 10.33048/SEMI.2021.18.128

Author

Matveeva, I. I. / Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays. In: Сибирские электронные математические известия. 2021 ; Vol. 18, No. 2. pp. 1689-1697.

BibTeX

@article{41dc4ac6972446ecaf27a6e942418189,
title = "Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays",
abstract = "We consider a class of nonlinear systems of nonautonomous differential equations with time-varying concentrated and distributed delays than can be unbounded. Using a Lyapunov - Krasovskii functional, some estimates of solutions are established. The obtained estimates allow us to conclude whether the solutions are stable. In the case of exponential and asymptotic stability, stabilization rates of the solutions at infinity are pointed out.",
keywords = "time-varying delay systems, variable coefficients, estimates for solutions, stability, Lyapunov-Krasovskii functional, Stability, Variable coefficients, Time-varying delay systems, Lyapunov - krasovskii functional, Estimates for solutions",
author = "Matveeva, {I. I.}",
note = "Funding Information: Matveeva, I.I., Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays. {\textcopyright} 2021 Matveeva I.I. The work is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation. Received October, 26, 2021, published December, 28, 2021. Publisher Copyright: {\textcopyright} 2021 Matveeva I.I",
year = "2021",
doi = "10.33048/SEMI.2021.18.128",
language = "English",
volume = "18",
pages = "1689--1697",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays

AU - Matveeva, I. I.

N1 - Funding Information: Matveeva, I.I., Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays. © 2021 Matveeva I.I. The work is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation. Received October, 26, 2021, published December, 28, 2021. Publisher Copyright: © 2021 Matveeva I.I

PY - 2021

Y1 - 2021

N2 - We consider a class of nonlinear systems of nonautonomous differential equations with time-varying concentrated and distributed delays than can be unbounded. Using a Lyapunov - Krasovskii functional, some estimates of solutions are established. The obtained estimates allow us to conclude whether the solutions are stable. In the case of exponential and asymptotic stability, stabilization rates of the solutions at infinity are pointed out.

AB - We consider a class of nonlinear systems of nonautonomous differential equations with time-varying concentrated and distributed delays than can be unbounded. Using a Lyapunov - Krasovskii functional, some estimates of solutions are established. The obtained estimates allow us to conclude whether the solutions are stable. In the case of exponential and asymptotic stability, stabilization rates of the solutions at infinity are pointed out.

KW - time-varying delay systems

KW - variable coefficients

KW - estimates for solutions

KW - stability

KW - Lyapunov-Krasovskii functional

KW - Stability

KW - Variable coefficients

KW - Time-varying delay systems

KW - Lyapunov - krasovskii functional

KW - Estimates for solutions

UR - http://www.scopus.com/inward/record.url?scp=85124149079&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=47669602

U2 - 10.33048/SEMI.2021.18.128

DO - 10.33048/SEMI.2021.18.128

M3 - Article

VL - 18

SP - 1689

EP - 1697

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

M1 - 62

ER -

ID: 35408972