Random fixed points and viable random solutions of functional- differential inclusions
type: Item
instance of: scholarly article
title: Random fixed points and viable random solutions of functional- differential inclusions
zbMATH Open document ID: 0681.60056
DOI: 10.1016/0022-247X(89)90163-7
author: Longin E. Rybiński
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: The author studies random functional-differential inclusions in Banach spaces and looks for viable solutions which depend measurably on a random parameter. He proposes a general scheme which allows us to neglect the randomness: If for each value of the parameter the corresponding deterministic problem has a solution, and some measurability assumptions are satisfied, then there exists a random solution. Both classical and absolutely continuous solutions are treated. As an auxiliary result, the author proves a general random fixed point theorem for multivalued mappings. Measurable and continuous selection theorems play the key role in the proofs.
Mathematics Subject Classification ID: 60H25
zbMATH DE Number: 4115661
zbMATH Keywords: random fixed point
zbMATH Keywords: random functional-differential inclusions
zbMATH Keywords: Measurable and continuous selection theorems
reviewed by: Andrzej Nowak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4115661