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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2021 Volume 24, Number 2, Pages 148–159 (Mi sjim1137)

This article is cited in 2 papers

On estimates of solutions to systems of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms

T. Yskakab

a Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia

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. .

UDC: 517.929

Received: 25.08.2020
Revised: 17.02.2021
Accepted: 15.04.2021

DOI: 10.33048/SIBJIM.2021.24.212


 English version:
Journal of Applied and Industrial Mathematics, 2021, 15:2, 355–364

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© Steklov Math. Inst. of RAS, 2024