Seminar 01.10.2024

Speaker:  Vadym Radchenko (Taras Shevchenko National University of Kyiv)

Topic: Equations with a symmetric integral with respect to stochastic measures

Abstract. The stochastic measures (SMs) are sigma-additive in probability random set functions defined on a sigma-algebra. Many important classes of processes generate a SM. In the talk, we give a definition of the Stratonovich-type integral with respect to SM and study some equations with this integral. The averaging principle for these equations will be considered.

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