Approximate controllability of neutral functional differential system with unbounded delay
type: Item
instance of: scholarly article
title: Approximate controllability of neutral functional differential system with unbounded delay
zbMATH Open document ID: 0995.93009
DOI: 10.1155/S016117120100597X
author: Sang Nam Kang
author: Jong Yeoul Park
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49447
full work available at URL: S016117120100597X.html
review text: The authors study the approximate controllability of neutral functional differential systems with unbounded delay of the form \[ {d\over dt}\{x(t)+F(t,x_t)\}=Ax(t)+G(t,x_t)+Bv(t), 0<t<T, x_0=\phi, \] where \(F,G: [0,T]\times {\mathcal B}\to X\) are continuous functions, \({\mathcal B}\) is an abstract phase space, \(A\) is the infinitesimal generator of an analytic semigroup of bounded linear operators on a Banach space \(X,\) the control function \(v(\cdot)\) is given in \(L^2(0,T:V),\) which is a Banach space of admissible control functions, with \(V\) as a Banach space. Finally, \(B\) is a bounded linear operator from \(L^2(0,T:V)\) into \(L^2(0,T:X).\) An example which illustrates the theoretical results is also presented.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 1780261
zbMATH Keywords: controllability
zbMATH Keywords: neutral functional differential system
zbMATH Keywords: unbounded delay
reviewed by: Sotiris K. Ntouyas
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1780261