Local existence for retarded Volterra integrodifferential equations with Hille--Yosida operators
type: Item
instance of: scholarly article
title: Local existence for retarded Volterra integrodifferential equations with Hille--Yosida operators
zbMATH Open document ID: 1123.34059
author: Jung-Chan Chang
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-04-19T00:00:00Z
review text: The author studies the local existence, global continuation of mild and classical solutions for some integrodifferential equations with infinite delay. The linear part is assumed to be not necessarily densely defined and satisfies the Hille-Yosida condition. The delayed part is locally Lipschitz continuous. The phase space is axiomatically defined.
reviewed by: Khalil Ezzinbi
Mathematics Subject Classification ID: 34K30
zbMATH DE Number: 5144908
zbMATH Keywords: Hille-Yosida operator
zbMATH Keywords: Retarded Volerra integrodifferential equation
zbMATH Keywords: integrated semigroup
zbMATH Keywords: co-semigroup
zbMATH Keywords: extrapolated semigroup
MaRDI profile type: Publication
full work available at URL: j.na.2006.04.009
OpenAlex ID: W2001791492
cites work: Q4214729
cites work: Existence for a class of partial functional differential equations with infinite delay
cites work: Local existence and stability for some partial functional-differential equations with infinite delay
cites work: A class of linear partial neutral functional differential equations with nondense domain
cites work: Q4444859
cites work: On the Volterra integrodifferential equations and applications
cites work: Wellposedness and wave propagation for a class of integrodifferential equations in Banach space
cites work: One-Parameter Semigroups for Linear Evolution Equations
cites work: Integrated semigroups amd integrodifferential equations
cites work: Q5624255
cites work: Q4163814
cites work: Regularity of solutions of abstract retarded functional differential equations with unbounded delay
cites work: Q4313423
cites work: Approximation of abstract functional differential equations with unbounded delay
cites work: Functional differential equations with infinite delay
cites work: Some considerations to the fundamental theory of infinite delay equations
cites work: Integrated semigroups
cites work: A note on semilinear abstract functional differential and integrodifferential equations with infinite delay.
cites work: Q4090863
cites work: Q4283331
cites work: Existence and continuous dependence for functional-differential equations with unbounded delay
cites work: Existence and Stability for Partial Functional Differential Equations
cites work: Theory and applications of partial functional differential equations
DOI: 10.1016/J.NA.2006.04.009
Recommended article: Q3509110
Recommended article: Local existence for nonlinear Volterra integrodifferential equations with infinite delay
Recommended article: Local existence of some nonlinear Volterra integrodifferential equations with infinite delay
Recommended article: Q4283331
Recommended article: Local existence for abstract semilinear Volterra integrodifferential equations
Recommended article: On integral solution of nonlocal fractional Volterra integro-differential equation with Hille-Yosida operator
Recommended article: Regularity properties of perturbed Hille-Yosida operators and retarded differential equations
Recommended article: On a class of retarded integro-differential Volterra equations
Recommended article: Asymptotic behavior of hyperbolic Cauchy problems for Hille-Yosida operators with an application to retarded differential equations
Recommended article: Q2999568
description: scientific article; zbMATH DE number 5144908