Some new results on integration for multifunction
  It has been proven in previous papers that each Henstock-Kurzweil-Pettis integrable multifunction with weakly compact values can be represented as a sum of one of its selections and a Pettis integrable multifunction. We prove here that if the initial multifunction is also Bochner measurable and has absolutely continuous variational measure of its integral, then it is a sum of a strongly measurable selection and of a variationally Henstock integrable multifunction that is also Birkhoff integrable. 
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musia{\l}, Anna Rita   Sambucini
math.FA