Differentiability of solutions of second-order functional differential equations with unbounded delay
type: Item
instance of: scholarly article
title: Differentiability of solutions of second-order functional differential equations with unbounded delay
zbMATH Open document ID: 1027.34090
DOI: 10.1016/S0022-247X(03)00042-8
author: Hernán R. Henríquez
author: Carlos Vásquez
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-27T00:00:00Z
review text: The authors study the differentiability of solutions to second-order functional-differential equations with unbounded delay, especially, when the phase space is reflexive or at least has the Radon-Nikodym property. The obtained results are then applied to linear equations to characterize the infinitesimal generator of solution semigroups associated with the linear equations under consideration.
reviewed by: Nguyen Van Minh
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 1917774
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: continuous argument
MaRDI profile type: Publication
cites work: Q5549343
cites work: Q4148368
cites work: Q3678037
cites work: Q4894782
cites work: Introduction to functional differential equations
cites work: Q4163814
cites work: Regularity of solutions of abstract retarded functional differential equations with unbounded delay
cites work: Q4313423
cites work: Almost periodic solutions to abstract retarded functional differential equations with unbounded delay
cites work: Differentiability of solutions of the second order abstract Cauchy problem
cites work: Functional differential equations with infinite delay
cites work: Q4063689
cites work: On cosine operator functions and one-parameter groups of operators
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Q3903316
cites work: Q4167185
cites work: Cosine families and abstract nonlinear second order differential equations
cites work: Theory and applications of partial functional differential equations
description: scientific article; zbMATH DE number 1917774