Some Remarks on Controllability of Evolution Equations in Banach Spaces
dc.contributor.author | Ntouyas, S. K. | en |
dc.contributor.author | O'Regan, D. | en |
dc.date.accessioned | 2015-11-24T17:28:10Z | |
dc.date.available | 2015-11-24T17:28:10Z | |
dc.identifier.issn | 1072-6691 | - |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13511 | |
dc.rights | Default Licence | - |
dc.subject | semilinear differential equations | en |
dc.subject | controllability | en |
dc.subject | fixed point theorem | en |
dc.title | Some Remarks on Controllability of Evolution Equations in Banach Spaces | en |
heal.abstract | In almost all papers in the literature, the results on exact controllability hold only for finite dimensional Banach spaces, since compactness of the semigroup and the bounded invertibility of an operator implies finite dimensional. In this note we show that the existence theory on controllability in the literature, can trivially be adjusted to include the infinite dimensional space setting, if we replace the compactness of operators with the complete continuity of the nonlinearity. | en |
heal.access | campus | - |
heal.fullTextAvailability | TRUE | - |
heal.identifier.secondary | <Go to ISI>://000208184300001 | - |
heal.journalName | Electronic Journal of Differential Equations | en |
heal.journalType | peer reviewed | - |
heal.language | en | - |
heal.publicationDate | 2009 | - |
heal.publisher | Texas State University, Department of Mathematics | en |
heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
heal.type | journalArticle | - |
heal.type.el | Άρθρο Περιοδικού | el |
heal.type.en | Journal article | en |
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