Approximate controllability of semilinear functional equations in Hilbert spaces
type: Item
instance of: scholarly article
title: Approximate controllability of semilinear functional equations in Hilbert spaces
zbMATH Open document ID: 1017.93019
DOI: 10.1016/S0022-247X(02)00225-1
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: Approximate and complete controllability for semilinear functional differential systems in Hilbert spaces is studied. Sufficient conditions are established for each of these types of controllability. The results address the limitation that linear systems in infinite-dimensional spaces with compact semigroup cannot be completely controllable. The conditions are obtained by using the Schauder fixed point theorem when the semigroup is compact and the Banach fixed point theorem when the semigroup is not compact.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 1866564
zbMATH Keywords: complete controllability
zbMATH Keywords: semilinear functional differential systems
zbMATH Keywords: compact semigroup
zbMATH Keywords: Schauder fixed point theorem
zbMATH Keywords: Banach fixed point theorem
author: J. P. Dauer
author: Nazim Idrisoglu Mahmudov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1866564