Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15530
Title: | Random extremal solutions of differential inclusions |
Author: | Bressan, Alberto Staicu, Vasile |
Keywords: | Differential inclusions Lipschitz selections Extremal solutions Random solutions |
Issue Date: | Jun-2016 |
Publisher: | Springer Verlag; Birkhäuser Basel |
Abstract: | Given a Lipschitz continuous multifunction F on Rⁿ, we construct a probability measure on the set of all solutions to the Cauchy problem x∈F(x) with x(0)=0. With probability one, the derivatives of these random solutions take values within the set extF(x) of extreme points for a.e. time t. This provides an alternative approach in the analysis of solutions to differential inclusions with non-convex right hand side. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15530 |
DOI: | 10.1007/s00030-016-0375-0 |
ISSN: | 1021-9722 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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P73_NoDEA_23(2016).pdf | artigo publicado online | 399.29 kB | Adobe PDF |
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