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Title: | Viable solutions of lower semicontinuous quantum stochastic differential inclusions |
Authors: | Akinwumi, Titilayo O. Ayoola, Ezekiel O. |
Keywords: | Lower semicontinuous · Nagumo viability · Tangent cone Fock spaces |
Issue Date: | 24-Nov-2020 |
Publisher: | Springer Nature: Analysis and Mathematical Physics |
Citation: | Akinwumi, T.O., Ayoola, E.O. Viable solutions of lower semicontinuous quantum stochastic differential inclusions. Anal.Math.Phys. 11, 7 (2021). https://doi.org/10.1007/s13324-020-00446-4 |
Abstract: | We establish the existence and some properties of viable solutions of lower semicontinuous quantum stochastic differential inclusions within the framework of the Hudson–Parthasarathy formulations of quantum stochastic calculus. The main results here are accomplished by establishing a major auxiliary selection result. The results here extend the classical Nagumo viability theorems,valid on finite dimensional Euclidean spaces, to the present infinite dimensional locally convex space of noncommutative stochastic processes. |
Description: | Staff Publication |
URI: | https://doi.org/10.1007/s13324-020-00446-4 http://repository.elizadeuniversity.edu.ng/jspui/handle/20.500.12398/1176 |
Appears in Collections: | Research Articles |
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Pages from akinwumi2020.pdf | 177.31 kB | Adobe PDF | View/Open |
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