More on linearized stability for neutral equations with state-dependent delays
type: Item
instance of: scholarly article
title: More on linearized stability for neutral equations with state-dependent delays
zbMATH Open document ID: 1268.34137
author: Hans-Otto Walther
published in: Differential Equations and Dynamical Systems
publication date: 2012-11-30T00:00:00Z
review text: The author proves the principle of linearized stability for semiflows generated by neutral functional differential equations. The state space is a closed subset in a manifold of \(C^2\)-functions. Applications include equations with state-dependent delay, as for example \[ x'(t) = A(x'(t+d(x(t))))+f(x(t+r(x(t)))) \] with nonlinear functions \(A\: \mathbb R\to \mathbb R\) and \(d\: \mathbb R\to (-h,0)\), \(f\: \mathbb R\to \mathbb R\), \(r\: \mathbb R\to[-h,0]\).
reviewed by: A. A. Martynyuk
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 6111588
zbMATH Keywords: functional differential equation
zbMATH Keywords: neutral
zbMATH Keywords: state-dependent delay
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: s12591-011-0093-3
OpenAlex ID: W1977217953
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DOI: 10.1007/S12591-011-0093-3
description: scientific article; zbMATH DE number 6111588