Nguyen Dinh Phu; Ngo Van Hoa; Ho Vu On the stability properties by quasi-expectation of stochastic set solutions with selectors. (English) Zbl 1239.60048 J. Nonlinear Evol. Equ. Appl. 2011, 57-71 (2011). The authors are interested in generating the stochastic set of processes \(X_t=X(t,\omega)\in K_{cc}(\mathbb{R}^n)\), where \(t\in[0,\tau]\subset\mathbb{R}_+\) and \(K_{cc}(\mathbb{R}^n)\) are the family of all nonempty convex and compact subsets of the Euclidian \(n\)-dimensional space \(\mathbb{R}^n\) with Hausdorff distance. They investigate stability properties by quasi-expectation of stochastic set solutions for stochastic set differential equations under Hukuhara derivative with selectors without any controls. Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) 34G10 Linear differential equations in abstract spaces 47D06 One-parameter semigroups and linear evolution equations Keywords:set-valued stochastic processes; selectors; stochastic set control differential equations with selectors; quasi-expectation; stability theory PDFBibTeX XMLCite \textit{Nguyen Dinh Phu} et al., J. Nonlinear Evol. Equ. Appl. 2011, 57--71 (2011; Zbl 1239.60048) Full Text: Link