Stability of Solutions to One Class of Neutral Type Systems of Linear Autonomous Equations with Distributed Delay

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Stability of Solutions to One Class of Neutral Type Systems of Linear Autonomous Equations with Distributed Delay. / Yskak, T.

In: Lobachevskii Journal of Mathematics, Vol. 42, No. 14, 18, 12.2021, p. 3561-3566.

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

BibTeX

@article{51121e6c8928412a9c866529b9df30a9,

title = "Stability of Solutions to One Class of Neutral Type Systems of Linear Autonomous Equations with Distributed Delay",

abstract = "In this paper we consider a system of linear autonomous differential equations of neutral type with distributed delay. Sufficient conditions for the exponential stability of the zero solution of this system are given, estimates of solutions that characterize the exponential decrease at infinity are indicated. In the study of exponential stability the Lyapunov–Krasovskii functional is used.",

keywords = "distributed delay, estimates of solutions, exponential stability, Lyapunov–Krasovskii functional, neutral type equation",

author = "T. Yskak",

note = "Funding Information: The author was supported by the Russian Foundation for Basic Research (grant no. 18-29-10086). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = dec,

doi = "10.1134/S1995080222020196",

language = "English",

volume = "42",

pages = "3561--3566",

journal = "Lobachevskii Journal of Mathematics",

issn = "1995-0802",

publisher = "Maik Nauka Publishing / Springer SBM",

number = "14",

}

RIS

TY - JOUR

T1 - Stability of Solutions to One Class of Neutral Type Systems of Linear Autonomous Equations with Distributed Delay

AU - Yskak, T.

PY - 2021/12

Y1 - 2021/12

N2 - In this paper we consider a system of linear autonomous differential equations of neutral type with distributed delay. Sufficient conditions for the exponential stability of the zero solution of this system are given, estimates of solutions that characterize the exponential decrease at infinity are indicated. In the study of exponential stability the Lyapunov–Krasovskii functional is used.

AB - In this paper we consider a system of linear autonomous differential equations of neutral type with distributed delay. Sufficient conditions for the exponential stability of the zero solution of this system are given, estimates of solutions that characterize the exponential decrease at infinity are indicated. In the study of exponential stability the Lyapunov–Krasovskii functional is used.

KW - distributed delay

KW - estimates of solutions

KW - exponential stability

KW - Lyapunov–Krasovskii functional

KW - neutral type equation

UR - http://www.scopus.com/inward/record.url?scp=85127428085&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=48154969

U2 - 10.1134/S1995080222020196

DO - 10.1134/S1995080222020196

M3 - Article

AN - SCOPUS:85127428085

VL - 42

SP - 3561

EP - 3566

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 14

M1 - 18

ER -

ID: 35838897