On Estimates of Solutions to Systems of Nonlinear Differential Equations with Distributed Delay and Periodic Coefficients in the Linear Terms

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On Estimates of Solutions to Systems of Nonlinear Differential Equations with Distributed Delay and Periodic Coefficients in the Linear Terms. / Yskak, T.

In: Journal of Applied and Industrial Mathematics, Vol. 15, No. 2, 04.2021, p. 355-364.

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

BibTeX

@article{ae3bf108a8a441c1a9bfddd36880cd73,

title = "On Estimates of Solutions to Systems of Nonlinear Differential Equations with Distributed Delay and Periodic Coefficients in the Linear Terms",

abstract = "We consider a system of nonlinear differential equations with distributed delay andperiodic coefficients in the linear terms. Some sufficient conditions for the exponential decay ofsolutions are established, and the estimates characterizing the rate of decay of solutions at infinityare obtained.",

keywords = "distributed delay, estimation of solution, exponential decay of a solution, Lyapunov–Krasovskiĭ functional, nonlinear differential equation, periodic coefficient",

author = "T. Yskak",

note = "Funding Information: The author was supported by the Russian Foundation for Basic Research (project no. 19–31–90149). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = apr,

doi = "10.1134/S1990478921020174",

language = "English",

volume = "15",

pages = "355--364",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - On Estimates of Solutions to Systems of Nonlinear Differential Equations with Distributed Delay and Periodic Coefficients in the Linear Terms

AU - Yskak, T.

PY - 2021/4

Y1 - 2021/4

N2 - We consider a system of nonlinear differential equations with distributed delay andperiodic coefficients in the linear terms. Some sufficient conditions for the exponential decay ofsolutions are established, and the estimates characterizing the rate of decay of solutions at infinityare obtained.

AB - We consider a system of nonlinear differential equations with distributed delay andperiodic coefficients in the linear terms. Some sufficient conditions for the exponential decay ofsolutions are established, and the estimates characterizing the rate of decay of solutions at infinityare obtained.

KW - distributed delay

KW - estimation of solution

KW - exponential decay of a solution

KW - Lyapunov–Krasovskiĭ functional

KW - nonlinear differential equation

KW - periodic coefficient

UR - http://www.scopus.com/inward/record.url?scp=85116253698&partnerID=8YFLogxK

U2 - 10.1134/S1990478921020174

DO - 10.1134/S1990478921020174

M3 - Article

AN - SCOPUS:85116253698

VL - 15

SP - 355

EP - 364

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 2

ER -

ID: 34411439