Some applications of nonabsolute integrals in the theory of differential inclusions in Banach spaces
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee
2010
chapter in monograph / paper
english
- Aumann integrals
- Pettis integrals
- Henstock-Kurzweil-Pettis integrals
- selections
- differential inclusions
- nonlocal Cauchy problems
EN In this paper we present a brief historical review about multivalued integrals and its relations with differential inclusions. Then a new theorem about existence of solutions (in some weak sense) for differential inclusions in Banach spaces is proved (by using some properties of nonabsolute integrals).
115 - 124