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arxiv: 1707.06251 · v1 · pith:AU3AO2RSnew · submitted 2017-07-19 · 🧮 math.DS · math.AP· math.CA· nlin.CD

Measurable process selection theorem and non-autonomous inclusions

classification 🧮 math.DS math.APmath.CAnlin.CD
keywords inclusionsmeasurablenon-autonomoussemi-processesabstractallowanalogblow
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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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