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• # Artykuł - szczegóły

## Annales Polonici Mathematici

2004 | 83 | 2 | 179-187

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

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.

179-187

wydano
2004

### Twórcy

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