A remark on the Lyapunov-Razumikhin method for equations with infinite delay
type: Item
instance of: scholarly article
title: A remark on the Lyapunov-Razumikhin method for equations with infinite delay
zbMATH Open document ID: 1036.34089
DOI: 10.1023/A:1022318612738
author: N. O. Sedova
published in: Differential Equations
publication date: 2003-05-25T00:00:00Z
review text: The system of functional-differential equations \[ \frac{dx}{dt}=X(t,x_t)\tag{1} \] is considered. It is assumed that this system has the zero solution \(x(t)=0\). Using some properties of the limit equation \[ \frac{dx}{dt}=X_*(t,x_t), \] the author obtains sufficient conditions for the asymptotic stability of the zero solution to system (1).
reviewed by: Alexander O. Ignatyev
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1916191
zbMATH Keywords: differential equations with infinite delay
zbMATH Keywords: Lyapunov-Razumikhin method
MaRDI profile type: Publication
full work available at URL: a:1022318612738
OpenAlex ID: W50095706
Recommended article: Lyapunov-Razumikhin pairs in the instability problem for infinite delay equations
Recommended article: Razumikhin techniques in infinite delay equations
Recommended article: Q3322475
Recommended article: Q3326976
Recommended article: Q3808508
Recommended article: The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay
Recommended article: Razumikhin-Type Theorems in the Problem on Instability of Nonautonomous Equations with Finite Delay
Recommended article: Q3772575
Recommended article: Lyapunov-Razumikhin functions and the asymptotic properties of the autonomous functional differential equations with infinite delay
Recommended article: Razumikhin method to delay differential equations with non-instantaneous impulses
description: scientific article; zbMATH DE number 1916191