STABILITY OF SOLUTIONS TO SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE WITH INFINITE DISTRIBUTED DELAY

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STABILITY OF SOLUTIONS TO SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE WITH INFINITE DISTRIBUTED DELAY. / Искаков, Т. К.

In: Chelyabinsk Physical and Mathematical Journal, Vol. 9, No. 4, 2024, p. 573-584.

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

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Искаков, Т. К. / STABILITY OF SOLUTIONS TO SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE WITH INFINITE DISTRIBUTED DELAY. In: Chelyabinsk Physical and Mathematical Journal. 2024 ; Vol. 9, No. 4. pp. 573-584.

BibTeX

@article{5dcc5fb0c1a8479f9570094eb20bb8fa,

title = "STABILITY OF SOLUTIONS TO SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE WITH INFINITE DISTRIBUTED DELAY",

abstract = "A class of systems of linear differential equations of neutral type with infinite distributed delay and periodic coefficients is considered. Using the Lyapunov–Krasovskii functional, sufficient conditions for exponential stability of the zero solution are obtained, estimates of solutions characterizing exponential decrease at infinity are established, conditions for perturbations of the coefficients of the system, under which exponential stability is preserved, are specified. {\textcopyright} 2024 Chelyabinsk State University. All rights reserved.",

author = "Искаков, {Т. К.}",

note = "The research is supported by the Russian Science Foundation (grant no. 24-21-00367).",

year = "2024",

language = "English",

volume = "9",

pages = "573--584",

journal = "Chelyabinsk Physical and Mathematical Journal",

issn = "2500-0101",

publisher = "Chelyabinsk State University",

number = "4",

}

RIS

TY - JOUR

T1 - STABILITY OF SOLUTIONS TO SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE WITH INFINITE DISTRIBUTED DELAY

AU - Искаков, Т. К.

N1 - The research is supported by the Russian Science Foundation (grant no. 24-21-00367).

PY - 2024

Y1 - 2024

N2 - A class of systems of linear differential equations of neutral type with infinite distributed delay and periodic coefficients is considered. Using the Lyapunov–Krasovskii functional, sufficient conditions for exponential stability of the zero solution are obtained, estimates of solutions characterizing exponential decrease at infinity are established, conditions for perturbations of the coefficients of the system, under which exponential stability is preserved, are specified. © 2024 Chelyabinsk State University. All rights reserved.

AB - A class of systems of linear differential equations of neutral type with infinite distributed delay and periodic coefficients is considered. Using the Lyapunov–Krasovskii functional, sufficient conditions for exponential stability of the zero solution are obtained, estimates of solutions characterizing exponential decrease at infinity are established, conditions for perturbations of the coefficients of the system, under which exponential stability is preserved, are specified. © 2024 Chelyabinsk State University. All rights reserved.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85208502897&origin=inward&txGid=ef1446c24421c825cf93905f3984e2fc

M3 - Article

VL - 9

SP - 573

EP - 584

JO - Chelyabinsk Physical and Mathematical Journal

JF - Chelyabinsk Physical and Mathematical Journal

SN - 2500-0101

IS - 4

ER -

ID: 61306153