Perturbations of nonlinear systems of neutral type
type: Item
instance of: scholarly article
title: Perturbations of nonlinear systems of neutral type
zbMATH Open document ID: 0688.34044
DOI: 10.1016/0022-0396(89)90166-6
author: Henry C. Simpson
author: Ethelbert Nwakuche Chukwu
published in: Journal of Differential Equations
publication date: 1989-01-01T00:00:00Z
review text: Nonlinear, time-dependent dynamical systems of neutral type are considered. Under suitable hypotheses on systems parameters some differentiability results concerning the solution are proved. Genericity of some properties of solution is also studied. Next, the nonlinear variation of parameters formula for neutral systems with nonlinear perturbation is derived. This formula is proved for large class of initial functions. The asymptotic behavior of neutral systems with nonlinear perturbations mentioned in the paper is of great importance when dealing with control systems with limited power. The paper contains many remarks, corollaries and comments concerning solution of neutral systems. Similar problems have been treated by \textit{G. A. Shanholt} [Math. Systems Theory 6 (1972), 343-352 (1973; Zbl 0248.34070)] and by \textit{G. Tadmor} [J. Differ. Equations 51, 151-181 (1984; Zbl 0547.34058)].
reviewed by: Jerzy Klamka
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B03
zbMATH DE Number: 4127666
zbMATH Keywords: Nonlinear, time-dependent dynamical systems of neutral type
zbMATH Keywords: nonlinear variation of parameters formula
zbMATH Keywords: neutral systems with nonlinear perturbation
MaRDI profile type: Publication
full work available at URL: 0022-0396(89)90166-6
OpenAlex ID: W2091660907
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description: scientific article; zbMATH DE number 4127666