Invariant set and attractor of nonautonomous functional differential systems.
type: Item
instance of: scholarly article
title: Invariant set and attractor of nonautonomous functional differential systems.
zbMATH Open document ID: 1048.34124
DOI: 10.1016/S0022-247X(02)00370-0
author: Hongyong Zhao
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-07-30T00:00:00Z
review text: The nonlinear nonautonomous functional-differential system \[ \begin{aligned} \dot x(t)= A(t)x(t) &+ f(t, x(t-\tau(t)))+ p(t),\quad t\geq t_0\geq 0,\\ x(t) &= \phi(t),\quad-r\leq t\leq t_0,\end{aligned}\tag{1} \] is considered in \(\mathbb{R}^n\). Under certain conditions, positive invariant and global attracting sets of system (1) are established.
Mathematics Subject Classification ID: 34K19
Mathematics Subject Classification ID: 34K99
zbMATH DE Number: 1957224
reviewed by: Roman Koplatadze
MaRDI profile type: Publication
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full work available at URL: s0022-247x(02)00370-0
OpenAlex ID: W2015564833
description: scientific article; zbMATH DE number 1957224