Abstract:
We consider a system of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms. Some sufficient conditions for the exponential decay of solutions are established, and the estimates characterizing the rate of decay of solutions at infinity are obtained.
Keywords:
nonlinear differential equation, distributed delay,
periodic coefficient, exponential decay of a solution,
estimation of solution, Lyapunov–Krasovskiĭ functional.
.
Citation:
T. Yskak, “On estimates of solutions to systems of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms”, Sib. Zh. Ind. Mat., 24:2 (2021), 148–159; J. Appl. Industr. Math., 15:2 (2021), 355–364
\Bibitem{Ysk21}
\by T.~Yskak
\paper On estimates of solutions to systems of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 2
\pages 148--159
\mathnet{http://mi.mathnet.ru/sjim1137}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.212}
\elib{https://elibrary.ru/item.asp?id=47509152}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 2
\pages 355--364
\crossref{https://doi.org/10.1134/S1990478921020174}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85116253698}
Linking options:
https://www.mathnet.ru/eng/sjim1137
https://www.mathnet.ru/eng/sjim/v24/i2/p148
This publication is cited in the following 2 articles:
M. A. Skvortsova, T. Yskak, “Otsenki reshenii differentsialnykh uravnenii s raspredelennym zapazdyvaniem, opisyvayuschikh konkurentsiyu neskolkikh vidov mikroorganizmov”, Sib. zhurn. industr. matem., 25:4 (2022), 193–205
M. A. Skvortsova, T. Yskak, “Estimates of Solutions to Differential Equations with Distributed Delay Describing the Competition of Several Types of Microorganisms”, J. Appl. Ind. Math., 16:4 (2022), 800
Citation in format AMSBIB
Contact us: