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On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay. / Yskak, T.

In: Journal of Applied and Industrial Mathematics, Vol. 13, No. 3, 01.07.2019, p. 575-583.

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

Harvard

Yskak, T 2019, 'On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay', Journal of Applied and Industrial Mathematics, vol. 13, no. 3, pp. 575-583. https://doi.org/10.1134/S1990478919030177

APA

Yskak, T. (2019). On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay. Journal of Applied and Industrial Mathematics, 13(3), 575-583. https://doi.org/10.1134/S1990478919030177

Vancouver

Yskak T. On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay. Journal of Applied and Industrial Mathematics. 2019 Jul 1;13(3):575-583. doi: 10.1134/S1990478919030177

Author

Yskak, T. / On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay. In: Journal of Applied and Industrial Mathematics. 2019 ; Vol. 13, No. 3. pp. 575-583.

BibTeX

@article{d300f7f36b0a41c99cb8af2098960852,
title = "On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay",
abstract = "We consider one class of systems of nonautonomous linear differential equations of neutral type with distributed delay. We obtain sufficient conditions for the exponential stability of the zero solution and conditions on perturbations of the coefficients under which the exponential stability of the zero solution is preserved. Using a Lyapunov—Kjasovskiĭ functional of a special kind, we prove some estimates that characterize the exponential decay of solutions at infinity.",
keywords = "distributed delay, exponential stability, Lyapunov-Krasovskiĭ functional, periodic coefficients, system of neutral type",
author = "T. Yskak",
year = "2019",
month = jul,
day = "1",
doi = "10.1134/S1990478919030177",
language = "English",
volume = "13",
pages = "575--583",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay

AU - Yskak, T.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - We consider one class of systems of nonautonomous linear differential equations of neutral type with distributed delay. We obtain sufficient conditions for the exponential stability of the zero solution and conditions on perturbations of the coefficients under which the exponential stability of the zero solution is preserved. Using a Lyapunov—Kjasovskiĭ functional of a special kind, we prove some estimates that characterize the exponential decay of solutions at infinity.

AB - We consider one class of systems of nonautonomous linear differential equations of neutral type with distributed delay. We obtain sufficient conditions for the exponential stability of the zero solution and conditions on perturbations of the coefficients under which the exponential stability of the zero solution is preserved. Using a Lyapunov—Kjasovskiĭ functional of a special kind, we prove some estimates that characterize the exponential decay of solutions at infinity.

KW - distributed delay

KW - exponential stability

KW - Lyapunov-Krasovskiĭ functional

KW - periodic coefficients

KW - system of neutral type

UR - http://www.scopus.com/inward/record.url?scp=85071458400&partnerID=8YFLogxK

U2 - 10.1134/S1990478919030177

DO - 10.1134/S1990478919030177

M3 - Article

AN - SCOPUS:85071458400

VL - 13

SP - 575

EP - 583

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 21472413