Boundary controllability of differential equations with nonlocal condition
type: Item
instance of: scholarly article
title: Boundary controllability of differential equations with nonlocal condition
zbMATH Open document ID: 0917.93009
author: Hyo Keun Han
author: Jong Yeoul Park
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-08-02T00:00:00Z
review text: Global exact boundary controllability in a given time-interval of a semilinear abstract dynamical system is considered. It is generally assumed that the dynamical system is defined in an infinite-dimensional Banach space, that it contains both a linear and a nonlinear part, and that, moreover, it satisfies the so-called nonlocal conditions. Using a Banach fixed-point theorem, a sufficient condition for exact boundary global controllability is formulated and proved. As an application, boundary exact controllability of certain semilinear distributed parameter dynamical systems with Dirichlet boundary conditions is investigated. Similar controllability problems for semilinear abstract dynamical systems have been recently considered in the paper of the authors and \textit{Y.-C. Kwun} [Indian. J. Pure Appl. Math. 29, No. 9, 941-950 (1998; Zbl 0917.93008)].
reviewed by: Jerzy Klamka
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1271524
zbMATH Keywords: global exact boundary controllability
zbMATH Keywords: semilinear abstract dynamical systems
zbMATH Keywords: nonlocal conditions
zbMATH Keywords: Banach fixed-point theorem
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6199
OpenAlex ID: W2007506203
cites work: Controllability of nonlinear integrodifferential systems in Banach space
cites work: Q3725052
cites work: Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
cites work: Q4365489
cites work: An approach to non-linear control problems using fixed-point methods, degree theory and pseudo-inverses.
cites work: A Bound on the Boundary Input Map for Parabolic Equations with Application to Time Optimal Control
DOI: 10.1006/JMAA.1998.6199
description: scientific article; zbMATH DE number 1271524