Properties of solution set of stochastic inclusions

Kisielewicz, Michał

doi:https://doi.org/10.1155/S1048953393000188

International Journal of Stochastic Analysis

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Volume 6 |Article ID 868629 | https://doi.org/10.1155/S1048953393000188

Michał Kisielewicz, "Properties of solution set of stochastic inclusions", International Journal of Stochastic Analysis, vol. 6, Article ID 868629, 19 pages, 1993. https://doi.org/10.1155/S1048953393000188

Properties of solution set of stochastic inclusions

Michał Kisielewicz¹

¹Institute of Mathematics, Higher College of Engineering, Podgórna 50, Zielona Góra 65-246, Poland

Received01 Apr 1993

Revised01 Jul 1993

Abstract

The properties of the solution set of stochastic inclusions xt−xs∈clL2(∫stFτ(xτ)dτ+∫stGτ(xτ)dωτ+∫st∫ℝnHτ,z(xτ)ν˜(dτ,dz)) are investigated. They are equivalent to properties of fixed points sets of appropriately defined set-valued mappings.

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Copyright © 1993 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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