On the existence of solutions for nonlinear impulsive periodic viable problems |
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| Authors: | Tiziana Cardinali Raffaella Servadei |
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| Affiliation: | (1) Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli 1, 06123 Perugia, Italy;(2) Department of Mathematics, University of Rome ‘Tor Vergata’, via della Ricerca Scientifica, 00133 Roma, Italy |
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| Abstract: | In this paper we prove the existence of periodic solutions for nonlinear impulsive viable problems monitored by differential inclusions of the type x′(t)∈F(t,x(t))+G(t,x(t)). Our existence theorems extend, in a broad sense, some propositions proved in [10] and improve a result due to Hristova-Bainov in [13]. |
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| Keywords: | impulsive periodic viable differential inclusions and equations canonical domain Bouligand contingent cone lower semicontinuity and upper semicontinuity of set valued maps |
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