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On the existence of solutions for random differential inclusions in a Banach space

Kandylakis Dimitrios, Papageorgiou Nikolaos S

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URI: http://purl.tuc.gr/dl/dias/DACF4073-3C19-4C26-A46D-36D84C4C499F
Year 1987
Type of Item Peer-Reviewed Journal Publication
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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
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Summary

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.

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