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.
DE BLASI, F.s., Reich, S., Zaslavski, A. (2013). Generic Properties of Continuous Differential Inclusions and the Tonelli Method of Approximate Solutions. SET-VALUED AND VARIATIONAL ANALYSIS, 21(2), 217-245 [10.1007/s11228-012-0222-3].
Generic Properties of Continuous Differential Inclusions and the Tonelli Method of Approximate Solutions
DE BLASI, FRANCESCO SAVERIO;
2013-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
