### Weak compactness of solution sets to stochastic differential inclusions with convex right-hand sides

DOI: http://dx.doi.org/10.12775/TMNA.2001.028

#### Abstract

Necessary and sufficient conditions for the existence of weak

solutions to stochastic differential inclusions with convex right-hand

sides are given. The main results of the paper deal with the weak

compactness with respect to the convergence in distribution of solution

sets to such inclusions.

solutions to stochastic differential inclusions with convex right-hand

sides are given. The main results of the paper deal with the weak

compactness with respect to the convergence in distribution of solution

sets to such inclusions.

#### Keywords

Stochastic differential inclusions; stochastic processes; probability measure; distribution

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