Measurable process selection theorem and non-autonomous inclusions

2017/07/19 by Jorge E. Cardona, Cardona, Jorge E., Lev Kapitanski +1
Engineering · Mathematics · Physics and Astronomy · #28B20 #35A02 #54C60 #60J25 #Advanced Control Systems Optimization #Analysis of PDEs (math.AP) #Chaotic Dynamics (nlin.CD) #Classical Analysis and ODEs (math.CA) #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Stability and Controllability of Differential Equations #math.AP #math.CA #math.DS #msc:28B20 #msc:35A02 #msc:54C60 #msc:60J25 #nlin.CD

paper · pdf · doi:10.48550/arxiv.1707.06251

arxiv created 2017/07/19 · openalex publication_date 2017/07/19 · arxiv updated 2017/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A semi-process is an analog of the semi-flow for non-autonomous differential equations or inclusions. We prove an abstract result on the existence of measurable semi-processes in the situations where there is no uniqueness. Also, we allow solutions to blow up in finite time and then obtain local semi-processes.

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