Differential Inclusions, Control and Optimization 24 (2004) 13-30
doi: 10.7151/dmdico.1049

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Irene Benedetti

Dipartimento di Matematica "U. Dini"
Università di Firenze
Viale Morgagni 67/A, 50134 - Firenze, Italy

e-mail: benedetti@math.unifi.it


We use the topological degree theory for condensing multimaps to present an existence result for impulsive semilinear functional differential inclusions in Banach spaces. Moreover, under some additional assumptions we prove the compactness of the solution set.

Keywords: impulsive functional differential inclusion, semilinear differential inclusion, mild solution, Cauchy problem, solution set, condensing multimap, fixed point.

2000 Mathematics Subject Classification: 34A60, 34G25, 34K45.


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Received 1 March 2004