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Mathematical notes of NEFU, 2022 Volume 29, Issue 3, Pages 93–107 (Mi svfu362)

This article is cited in 1 paper

Mathematics

Stability of solutions to systems of nonlinear differential equations of neutral type with distributed delay

T. K. Yskak

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We consider a class of systems of nonlinear differential equations of neu tral type with distributed delay and periodic coefficients in the linear part. Using the Lyapunov-Krasovskii functional, sufficient conditions for the exponential stability of the zero solution are established and estimates characterizing the rate of decay of solutions at infinity, as well as estimates of the set of attraction, are obtained.

Keywords: nonlinear differential equation, distributed delay, neutral type, periodiccoefficients, exponential stability, solution estimates, Lyapunov–Krasovskii functional.

UDC: 517.929

Received: 19.08.2022
Accepted: 31.08.2022

DOI: 10.25587/SVFU.2022.50.52.008



© Steklov Math. Inst. of RAS, 2025