Estimates for solutions and attraction domains of the zero solution to systems of quasi-linear equations of neutral type
type: Item
instance of: scholarly article
title: Estimates for solutions and attraction domains of the zero solution to systems of quasi-linear equations of neutral type
zbMATH Open document ID: 1545.34106
author: Mariya Aleksandrovna Skvortsova
published in: Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
publication date: 2024-06-13T00:00:00Z
review text: In this paper, the author studies a class of systems of differential equations of neutral type. She obtains attraction domains of the zero solution and establishes estimates of exponential decay at infinity for solutions. In particular, asymptotic stability of the zero solution follows from these estimates. These results are derived by the use of a modified Lyapunov-Krasovskii functional.
reviewed by: Alexander O. Ignatyev
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 7864606
zbMATH Keywords: systems of quasi-linear equations of neutral type
zbMATH Keywords: asymptotic stability
zbMATH Keywords: attraction domains
zbMATH Keywords: uniform estimates for solutions
zbMATH Keywords: modified Lyapunov-Krasovskii functional
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7864606