Approximate controllability of second order integrodifferential systems
type: Item
instance of: scholarly article
title: Approximate controllability of second order integrodifferential systems
zbMATH Open document ID: 0917.93008
author: Jong Yeoul Park
author: Hyo Keun Han
author: Young Chel Kwun
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1999-08-02T00:00:00Z
review text: Global approximate controllability in a given time-interval of a semilinear integrodifferential second-order dynamical system is considered. It is generally assumed that the dynamical system is defined in an infinite-dimensional Banach space, and that it contains both a linear and a nonlinear part. Using the theory of linear semigroups of bounded operators and fixed point theorems, a sufficient condition for approximate global controllability is formulated and proved. As an application, approximate global controllability of certain second-order semilinear distributed parameter system with Dirichlet type boundary conditions is investigated. Similar controllability problems have been recently considered in the paper of the first two authors [J. Math. Anal. Appl. 230, No. 1, 242-250 (1999; Zbl 0917.93009)].
reviewed by: Jerzy Klamka
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1281620
zbMATH Keywords: global approximate controllability
zbMATH Keywords: semilinear integrodifferential second-order dynamical systems
zbMATH Keywords: fixed point theorems
zbMATH Keywords: sufficient condition
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1281620