On the Controllability of a Differential Equation with Delayed and Advanced Arguments

A semigroup theory for a differential equation with delayed and advanced arguments is developed, with a detailed description of the infinitesimal generator. This in turn allows to study the exact controllability of the equation, by rewriting it as a classical Cauchy problem.

Bibliographic Details
Main Authors:	Raúl Manzanilla, Luis Gerardo Mármol, Carmen J. Vanegas
Format:	Article
Language:	English
Published:	Hindawi Limited 2010-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2010/307409

id	doaj-03741e036aa344ba9fc7040c92d5a7d8
record_format	Article
spelling	doaj-03741e036aa344ba9fc7040c92d5a7d82020-11-24T23:47:49ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/307409307409On the Controllability of a Differential Equation with Delayed and Advanced ArgumentsRaúl Manzanilla0Luis Gerardo Mármol1Carmen J. Vanegas2Departamento de Matemáticas Puras y Aplicadas, Universdad Simón Bolívar, Caracas 1080-A, VenezuelaDepartamento de Matemáticas Puras y Aplicadas, Universdad Simón Bolívar, Caracas 1080-A, VenezuelaDepartamento de Matemáticas Puras y Aplicadas, Universdad Simón Bolívar, Caracas 1080-A, VenezuelaA semigroup theory for a differential equation with delayed and advanced arguments is developed, with a detailed description of the infinitesimal generator. This in turn allows to study the exact controllability of the equation, by rewriting it as a classical Cauchy problem.http://dx.doi.org/10.1155/2010/307409
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Raúl Manzanilla Luis Gerardo Mármol Carmen J. Vanegas
spellingShingle	Raúl Manzanilla Luis Gerardo Mármol Carmen J. Vanegas On the Controllability of a Differential Equation with Delayed and Advanced Arguments Abstract and Applied Analysis
author_facet	Raúl Manzanilla Luis Gerardo Mármol Carmen J. Vanegas
author_sort	Raúl Manzanilla
title	On the Controllability of a Differential Equation with Delayed and Advanced Arguments
title_short	On the Controllability of a Differential Equation with Delayed and Advanced Arguments
title_full	On the Controllability of a Differential Equation with Delayed and Advanced Arguments
title_fullStr	On the Controllability of a Differential Equation with Delayed and Advanced Arguments
title_full_unstemmed	On the Controllability of a Differential Equation with Delayed and Advanced Arguments
title_sort	on the controllability of a differential equation with delayed and advanced arguments
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2010-01-01
description	A semigroup theory for a differential equation with delayed and advanced arguments is developed, with a detailed description of the infinitesimal generator. This in turn allows to study the exact controllability of the equation, by rewriting it as a classical Cauchy problem.
url	http://dx.doi.org/10.1155/2010/307409
work_keys_str_mv	AT raulmanzanilla onthecontrollabilityofadifferentialequationwithdelayedandadvancedarguments AT luisgerardomarmol onthecontrollabilityofadifferentialequationwithdelayedandadvancedarguments AT carmenjvanegas onthecontrollabilityofadifferentialequationwithdelayedandadvancedarguments
_version_	1725488433698177024

On the Controllability of a Differential Equation with Delayed and Advanced Arguments

Similar Items