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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Periodic solutions of nonlinear impulsive differential inclusions with constraints


Authors: Tiziana Cardinali and Raffaella Servadei
Journal: Proc. Amer. Math. Soc. 132 (2004), 2339-2349
MSC (2000): Primary 34A37, 34A60, 34B15
Published electronically: March 25, 2004
MathSciNet review: 2052411
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Abstract: In this paper we obtain the existence of periodic solutions for nonlinear ``invariance'' problems monitored by impulsive differential inclusions subject to impulse effects.


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Additional Information

Tiziana Cardinali
Affiliation: Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli 1, Perugia 06123, Italy
Email: tiziana@dipmat.unipg.it

Raffaella Servadei
Affiliation: Department of Mathematics, University of Roma ‘Tor Vergata’, via della Ricerca Scientifica, Roma 00133, Italy
Email: servadei@mat.uniroma2.it

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07343-5
PII: S 0002-9939(04)07343-5
Keywords: Impulsive differential inclusions and equations, canonical domain, Bouligand contingent cone, lower and upper semicontinuity of set-valued maps
Received by editor(s): February 14, 2003
Received by editor(s) in revised form: April 29, 2003
Published electronically: March 25, 2004
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2004 American Mathematical Society