Linearized stability for semilinear Volterra integral equations
type: Item
instance of: scholarly article
title: Linearized stability for semilinear Volterra integral equations
zbMATH Open document ID: 0814.45004
author: Nobuyuki Kato
published in: Differential and Integral Equations
publication date: 1995-06-22T00:00:00Z
review text: The authors considers, semilinear Volterra integral equations of the form \([u(t) = \int^ t_ 0 a(t-s) (L+F) u(s)ds + x,\qquad t \geq 0,]\) generalizes the well-known principle of linearized stability for differential equations to integral equations, and establishes the local asymptotic stability of equilibrium points.
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 45M10
zbMATH DE Number: 716214
zbMATH Keywords: semilinear Volterra integral equations
zbMATH Keywords: linearized stability
zbMATH Keywords: local asymptotic stability
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 716214