Το work with title On the existence of solutions for random differential inclusions in a Banach space by Kandylakis Dimitrios, Papageorgiou Nikolaos S is licensed under Creative Commons Attribution 4.0 International
Bibliographic Citation
D.A. Kandilakis, N.S. Papageorgiou: “On the existence of solutions for random
differential inclusions in a Banach space," Journal of Mathematical Analysis and Applications. vol. 126, no. 1, pp. 11–23, Aug. 1987. doi: 10.1016/0022-247X(87)90070-9
https://doi.org/10.1016/0022-247X(87)90070-9
We prove two existence theorems for random differential inclusions defined in a separable Banach space. One is about differential inclusions defined on all of the Banach space X and the other for differential inclusion defined on a closed convex subset K. Both theorems are proved through the use of analogous deterministic results, which we also include, and techniques from the theory of measurable multifunctions.