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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2019 Volume 60, Number 5, Pages 1063–1079 (Mi smj3133)

This article is cited in 19 papers

Estimates for solutions to neutral differential equations with periodic coefficients of linear terms

G. V. Demidenkoab, I. I. Matveevaab, M. A. Skvortsovaab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.

Keywords: differential equation of neutral type, periodic coefficient, exponential stability, attraction domain, Lyapunov–Krasovskii functional.

UDC: 517.929.4

Received: 03.07.2019
Revised: 03.07.2019
Accepted: 24.07.2019

DOI: 10.33048/smzh.2019.60.506


 English version:
Siberian Mathematical Journal, 2019, 60:5, 828–841

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© Steklov Math. Inst. of RAS, 2024