Estimates of Solutions for a Class of Nonautonomous Systems of Neutral Type with Concentrated and Distributed Delays

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Estimates of Solutions for a Class of Nonautonomous Systems of Neutral Type with Concentrated and Distributed Delays. / Matveeva, I. i.

In: Computational Mathematics and Mathematical Physics, Vol. 64, No. 8, 01.08.2024, p. 1796-1808.

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

BibTeX

@article{1054e0c2c7af470082b54a9f2c2056ed,

title = "Estimates of Solutions for a Class of Nonautonomous Systems of Neutral Type with Concentrated and Distributed Delays",

abstract = "A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established that imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.",

author = "Matveeva, {I. i.}",

year = "2024",

month = aug,

day = "1",

doi = "10.1134/S0965542524700933",

language = "English",

volume = "64",

pages = "1796--1808",

journal = "Computational Mathematics and Mathematical Physics",

issn = "0965-5425",

publisher = "PLEIADES PUBLISHING INC",

number = "8",

}

RIS

TY - JOUR

T1 - Estimates of Solutions for a Class of Nonautonomous Systems of Neutral Type with Concentrated and Distributed Delays

AU - Matveeva, I. i.

PY - 2024/8/1

Y1 - 2024/8/1

N2 - A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established that imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.

AB - A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established that imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85205375662&origin=inward&txGid=2bd440a040b4858425564388e9f9aab9

U2 - 10.1134/S0965542524700933

DO - 10.1134/S0965542524700933

M3 - Article

VL - 64

SP - 1796

EP - 1808

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 8

ER -

ID: 60817694