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Reports on Mathematical Physics
Volume 56, Issue 3, December 2005, Pages 437-470
 
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doi:10.1016/S0034-4877(05)80096-5    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Published by Elsevier Ltd.

Controllability of semilinear differential equations and inclusions via semigroup theory in banach spaces

L. Górniewicz1, E-mail The Corresponding Author, S.K. Ntouyas2, E-mail The Corresponding Author and D. O'Regan3, E-mail The Corresponding Author

1Department of Mathematics and Computer Science, Nicolaus Copernicus University Chopina 12/18, 87-100 Toruń, Poland 2Department of Mathematics University of Ioannina, 451 10 Ioannina, Greece 3Department of Mathematics National University of Ireland, Galway, Ireland

Received 25 July 2005. 
Available online 23 February 2006.

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Control problems appear in many branches of physics and technical science. In this paper we investigate the controllability of semilinear differential equations and inclusions via the semigroup theory in Banach spaces. All results are obtained by using fixed point theorems both for single and multivalued mappings.

Keywords: semilinear differential equations; semilinear differential inclusions; functional differential inclusions; semigroup; cosine functions; integrated semigroups; fixed point; nonlinear alternative


AMS (MOS) Subject Classifications: 93B05


Reports on Mathematical Physics
Volume 56, Issue 3, December 2005, Pages 437-470
 
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