Nonautonomous integro-differential equations of hyperbolic type
type: Item
instance of: scholarly article
title: Nonautonomous integro-differential equations of hyperbolic type
zbMATH Open document ID: 0826.45006
author: Hirokazu Oka
author: Naoki Tanaka
published in: Differential and Integral Equations
publication date: 1995-12-03T00:00:00Z
review text: This paper concerns the following nonautonomous integro-differential equation in a Banach space \(X\): \(u'(t) = A(t) u(t) + \int^t_0 B(t,s) u(s) ds + f(t)\), \(t \in [0,T]\); \(u(0) = u_0\). The authors study existence and uniqueness of classical solutions without assuming that the common domain of \(A(t)\) is dense in \(X\), and the regularity problem in case the common domain of \(A(t)\) is dense in \(X\).
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 47G20
zbMATH DE Number: 775650
zbMATH Keywords: hyperbolic type
zbMATH Keywords: nonautonomous integro-differential equation
zbMATH Keywords: Banach space
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: regularity
MaRDI profile type: Publication
Recommended article: On nonlinear integro-differential equations of hyperbolic type
Recommended article: Q3691040
Recommended article: Nonlinear hyperbolic volterra integrodifferential equations
Recommended article: Q3092608
Recommended article: Q4843366
Recommended article: Non-autonomous integrodifferential equations with non-local conditions
Recommended article: Équations et Systèmes Non Linéaires, Hyperboliques Non-Stricts
Recommended article: Non-autonomous nonlinear integro-differential equations with infinite delay
Recommended article: Q4697951
Recommended article: Q4440652
description: scientific article; zbMATH DE number 775650