Kozaryn, Maciej; Malinowski, Marek T.; Michta, Mariusz; Swiątek, Kamil Ł. On multivalued stochastic integral equations driven by a Wiener process in the plane. (English) Zbl 1260.60131 Dyn. Syst. Appl. 21, No. 2-3, 293-318 (2012). Summary: We define a multivalued stochastic integral in the plane. Then we investigate the multivalued stochastic equation in the plane as an abstract stochastic equation in a hyperspace of subsets of the space of square integrable random vectors. We prove existence and uniqueness of solutions as well as some additional properties. Results similar to a fuzzy-valued stochastic integral equation in the plane are stated as applications. Cited in 1 Document MSC: 60H20 Stochastic integral equations 60G60 Random fields 26E25 Set-valued functions 34A07 Fuzzy ordinary differential equations Keywords:random field; set-valued stochastic integral equation; fuzzy stochastic integral equation PDFBibTeX XMLCite \textit{M. Kozaryn} et al., Dyn. Syst. Appl. 21, No. 2--3, 293--318 (2012; Zbl 1260.60131)