Parametrization of Riemann-measurable selections for multifunctions of two variables with application to differential inclusions

• Autorzy: Giovanni Anello , Paolo Cubiotti
• Języki publikacji: EN

Abstrakty

EN

We consider a multifunction $F:T×X → 2^E$, where T, X and E are separable metric spaces, with E complete. Assuming that F is jointly measurable in the product and a.e. lower semicontinuous in the second variable, we establish the existence of a selection for F which is measurable with respect to the first variable and a.e. continuous with respect to the second one. Our result is in the spirit of [11], where multifunctions of only one variable are considered.

Kategorie tematyczne

• 47H04: Set-valued operators
• 34A60: Differential inclusions
• 28B20: Set-valued set functions and measures; integration of set-valued functions; measurable selections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 83
• Numer: 2
• Strony: 179-187

Daty

wydano

2004

Twórcy

autor

Giovanni Anello

• Department of Mathematics, University of Messina, Contrada Papardo, Salita Sperone 31, 98166 Messina, Italy

autor

Paolo Cubiotti

• Department of Mathematics, University of Messina, Contrada Papardo, Salita Sperone 31, 98166 Messina, Italy

Identyfikatory

DOI

10.4064/ap83-2-8