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Measurable Process Selection Theorem and Non-autonomous Inclusions

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Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications

Part of the book series: Studies in Computational Intelligence ((SCI,volume 835))

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.

To dear friend Vladik on the occasion of his 65th birthday.

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Acknowledgements

The first author was supported by Colciencias (Departamento Administrativo de Ciencia, Tecnología e Innovación) Grant 6171.

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Authors and Affiliations

  1. Department of Mathematics, University of Miami, Coral Gables, FL, 33124, USA

    Jorge E. Cardona & Lev Kapitanski

Authors
  1. Jorge E. Cardona
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  2. Lev Kapitanski
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Corresponding author

Correspondence to Lev Kapitanski .

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Editors and Affiliations

  1. Department of Teacher Education, University of Texas at El Paso, El Paso, TX, USA

    Olga Kosheleva

  2. Institute of Computational Technologies SB RAS, Novosibirsk, Russia

    Sergey P. Shary

  3. Johns Creek, GA, USA

    Gang Xiang

  4. Deptartment of Informatics, The State Russian Museum, Saint Petersburg, Russia

    Roman Zapatrin

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Cardona, J.E., Kapitanski, L. (2020). Measurable Process Selection Theorem and Non-autonomous Inclusions. In: Kosheleva, O., Shary, S., Xiang, G., Zapatrin, R. (eds) Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications. Studies in Computational Intelligence, vol 835. Springer, Cham. https://doi.org/10.1007/978-3-030-31041-7_23

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