Boundary controllability of Sobolev-type abstract nonlinear integrodifferential systems
type: Item
instance of: scholarly article
title: Boundary controllability of Sobolev-type abstract nonlinear integrodifferential systems
zbMATH Open document ID: 1017.93017
DOI: 10.1016/S0022-247X(02)00522-X
author: E. R. Anandhi
author: Krishnan Balachandran
author: J. P. Dauer
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-04-28T00:00:00Z
review text: The authors establish sufficient conditions for boundary controllability of various classes of Sobolev-type nonlinear systems including integrodifferential systems in Banach spaces. The results are obtained using the strongly continuous semigroup of operators and a Banach contraction principle. The authors provide examples to illustrate the theory.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93B28
zbMATH DE Number: 1901847
zbMATH Keywords: boundary controllability
zbMATH Keywords: fixed point theorem
zbMATH Keywords: Sobolev-type nonlinear systems
zbMATH Keywords: integrodifferential systems in Banach spaces
zbMATH Keywords: strongly continuous semigroup of operators
zbMATH Keywords: contraction principle
MaRDI profile type: Publication
cites work: Boundary controllability of integrodifferential systems in Banach spaces
cites work: Controllability of Sobolev-type integrodifferential systems in Banach spaces
cites work: Controllability of delay integrodifferential systems in Banach spaces
cites work: Q5389660
cites work: Q4099504
cites work: Boundary Control Problems with Convex Cost Criterion
cites work: Boundary Control Problems with Nonlinear State Equation
cites work: Q3725052
cites work: Boundary Controllability of Nonlinear Hyperbolic Systems
cites work: Boundary Control Systems
cites work: Boundary controllability of differential equations with nonlocal condition
cites work: Boundary control of retarded parabolic systems with the non-homogeneous Dirichlet boundary conditions
cites work: Q4007922
cites work: Boundary control of parabolic systems: regularity of optimal solutions
cites work: Unified theory for abstract parabolic boundary problems - a semigroup approach
cites work: Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems
cites work: Null boundary controllability for semilinear heat equations
cites work: Q5601627
cites work: Q5628582
cites work: Semigroups of linear operators and applications to partial differential equations
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
cites work: Q3358551
description: scientific article; zbMATH DE number 1901847