Abstract The main result of the paper deals with weak compactness in distribution of weak solutions sets to stochastic differential inclusions defined by set-valued stochastic integrals presented in the paper [Kisielewicz, M., Michta, M. (2017). Integrably bounded set-valued stochastic integrals. J. Math. Anal. Appl. 449(2):1892–1910]. Up to now only stochastic functional inclusions (see [Kisielewicz, M. (2013). Stochastic Differential and Inclusions Applications. New York: Springer]) have been investigated. The introductory parts of the paper deal with some properties of set-valued stochastic integrals and selected notions dealing with weak convergence in distribution of sequences of continuous stochastic processes.

中文翻译：

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弱解的弱紧性集合到随机微分包含

摘要 该论文的主要结果涉及论文 [Kisielewicz, M., Michta, M. (2017) 中提出的由集合值随机积分定义的随机微分包含的弱解集分布的弱紧致性。可积分有界集值随机积分。J. 数学。肛门。应用程序 449（2）：1892-1910]。到目前为止，只研究了随机函数包含（参见 [Kisielewicz, M. (2013)。随机微分和包含应用。纽约：Springer]）。论文的介绍部分处理集值随机积分的一些性质和处理连续随机过程序列分布中弱收敛的选定概念。