Stability of Volterra integrodifferential systems
type: Item
instance of: scholarly article
title: Stability of Volterra integrodifferential systems
zbMATH Open document ID: 0686.45004
DOI: 10.1016/0022-247X(89)90257-6
author: Shigui Ruan
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: For the integrodifferential system \(dx/dt=Ax+\int^{t}_{0}C(t,s)x(s)ds\) sufficient stability conditions are formulated by means of a decomposition of the system and a subsequent application of a vector Lyapunov function. Only the case is considered when the subsystems \(dx_ i/dt=A_{ii}x_ i,\quad x_ i\in {\mathbb{R}}^{n_ i},\) obtained in the result of decomposition are asymptotically stable.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M10
zbMATH DE Number: 4124352
zbMATH Keywords: Volterra integrodifferential systems
zbMATH Keywords: stability
zbMATH Keywords: decomposition
zbMATH Keywords: Lyapunov function
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
cites work: Stability theory for Volterra equations
cites work: Volterra integral and differential equations
cites work: Stability Criteria for Volterra Equations
cites work: Asymptotic stability of a class of integro-differential equations
cites work: $L_2 $-Stability and -Instability of Large-Scale Systems Described by Integrodifferential Equations
cites work: Asymptotic stability properties of linear Volterra integrodifferential equations
full work available at URL: 0022-247x(89)90257-6
OpenAlex ID: W2056207895
description: scientific article; zbMATH DE number 4124352