Generic Properties of Continuous Differential Inclusions and the Tonelli Method of Approximate Solutions |
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| Authors: | Francesco S de Blasi Simeon Reich Alexander J Zaslavski |
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| Institution: | 1. Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Roma, Italy
2. Department of Mathematics, The Technion–Israel Institute of Technology, 32000, Haifa, Israel
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| Abstract: | We study Cauchy problems for differential inclusions in Banach spaces and show that most such problems (in the sense of Baire’s categories) have solutions. We consider separately the cases where the point images of the right-hand side are compact and convex, and where they are merely bounded, closed and convex. |
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