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Stability of solutions of systems of Volterra integral equations. / Boykov, I.V.; Roudnev, V.A.; Boykova, A.I.

в: Applied Mathematics and Computation, Том 475, 128728, 15.08.2024.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Boykov, IV, Roudnev, VA & Boykova, AI 2024, 'Stability of solutions of systems of Volterra integral equations', Applied Mathematics and Computation, Том. 475, 128728. https://doi.org/10.1016/j.amc.2024.128728

APA

Boykov, I. V., Roudnev, V. A., & Boykova, A. I. (2024). Stability of solutions of systems of Volterra integral equations. Applied Mathematics and Computation, 475, [128728]. https://doi.org/10.1016/j.amc.2024.128728

Vancouver

Boykov IV, Roudnev VA, Boykova AI. Stability of solutions of systems of Volterra integral equations. Applied Mathematics and Computation. 2024 Авг. 15;475. 128728. https://doi.org/10.1016/j.amc.2024.128728

Author

Boykov, I.V. ; Roudnev, V.A. ; Boykova, A.I. / Stability of solutions of systems of Volterra integral equations. в: Applied Mathematics and Computation. 2024 ; Том 475.

BibTeX

@article{80b4a797f68a43718a9959074acdaa9f,
title = "Stability of solutions of systems of Volterra integral equations",
abstract = "In this paper, we propose new sufficient conditions for stability of solutions of systems of Volterra linear integral equations and systems of linear integro-differential Volterra equations. Solution stability conditions for systems of Volterra linear integral equations are studied with perturbed right hand sides of the equations. These new sufficient conditions are expressed in terms of logarithmic norms of matrices consisting of coefficients of equations and derivatives of their kernels. For Volterra integro-differential equations we also provide sufficient conditions for stability of solutions when the initial conditions are perturbed. {\textcopyright} 2024 Elsevier Inc.",
keywords = "Perturbed initial conditions, Perturbed right hand sides, Stability, Systems integro-differential Volterra equations, Systems of Volterra linear integral equations, System stability, Initial conditions, Linear integral equations, Perturbed initial condition, Perturbed right hand side, Right-hand sides, Stability of solutions, System integro-differential volterrum equation, System of volterrum linear integral equation, Volterra, Volterra equation, Integrodifferential equations",
author = "I.V. Boykov and V.A. Roudnev and A.I. Boykova",
note = "Export Date: 19 October 2024 CODEN: AMHCB Адрес для корреспонденции: Boykov, I.V.; Penza State University, 40, Krasnaya, Russian Federation; эл. почта: i.v.boykov@gmail.com",
year = "2024",
month = aug,
day = "15",
doi = "10.1016/j.amc.2024.128728",
language = "Английский",
volume = "475",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Stability of solutions of systems of Volterra integral equations

AU - Boykov, I.V.

AU - Roudnev, V.A.

AU - Boykova, A.I.

N1 - Export Date: 19 October 2024 CODEN: AMHCB Адрес для корреспонденции: Boykov, I.V.; Penza State University, 40, Krasnaya, Russian Federation; эл. почта: i.v.boykov@gmail.com

PY - 2024/8/15

Y1 - 2024/8/15

N2 - In this paper, we propose new sufficient conditions for stability of solutions of systems of Volterra linear integral equations and systems of linear integro-differential Volterra equations. Solution stability conditions for systems of Volterra linear integral equations are studied with perturbed right hand sides of the equations. These new sufficient conditions are expressed in terms of logarithmic norms of matrices consisting of coefficients of equations and derivatives of their kernels. For Volterra integro-differential equations we also provide sufficient conditions for stability of solutions when the initial conditions are perturbed. © 2024 Elsevier Inc.

AB - In this paper, we propose new sufficient conditions for stability of solutions of systems of Volterra linear integral equations and systems of linear integro-differential Volterra equations. Solution stability conditions for systems of Volterra linear integral equations are studied with perturbed right hand sides of the equations. These new sufficient conditions are expressed in terms of logarithmic norms of matrices consisting of coefficients of equations and derivatives of their kernels. For Volterra integro-differential equations we also provide sufficient conditions for stability of solutions when the initial conditions are perturbed. © 2024 Elsevier Inc.

KW - Perturbed initial conditions

KW - Perturbed right hand sides

KW - Stability

KW - Systems integro-differential Volterra equations

KW - Systems of Volterra linear integral equations

KW - System stability

KW - Initial conditions

KW - Linear integral equations

KW - Perturbed initial condition

KW - Perturbed right hand side

KW - Right-hand sides

KW - Stability of solutions

KW - System integro-differential volterrum equation

KW - System of volterrum linear integral equation

KW - Volterra

KW - Volterra equation

KW - Integrodifferential equations

UR - https://www.mendeley.com/catalogue/d17f2d99-cbff-387c-8170-5d1dfa76699b/

U2 - 10.1016/j.amc.2024.128728

DO - 10.1016/j.amc.2024.128728

M3 - статья

VL - 475

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

M1 - 128728

ER -

ID: 126391543