Grabovoj, I. P.; Ostapenko, V. V. Integration of linear multiform mappings. (Russian) Zbl 0664.90105 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 8, 74-76 (1988). The authors give, without proofs or even sketches, five theorems on the integration of set-valued maps C(t)M, where C(\(\tau)\), \(\tau\in [0,t]\), is a family of linear operators and M is a given set in \(R^ n\). An illustrative example of a fixed time duration game is provided. The paper extends some results of P. B. Gusyatnikov and E. S. Polovinkin [J. Appl. Math. Mech. 44, 547-554 (1981; Zbl 0468.90097)] and V. V. Ostapenko [Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No.12, 62- 64 (1984; Zbl 0554.90106)]. Reviewer: L.Zaremba MSC: 91A23 Differential games (aspects of game theory) 28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections 54C60 Set-valued maps in general topology 91A99 Game theory Keywords:integration of set-valued maps; fixed time duration game Citations:Zbl 0468.90097; Zbl 0554.90106 PDFBibTeX XMLCite \textit{I. P. Grabovoj} and \textit{V. V. Ostapenko}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 8, 74--76 (1988; Zbl 0664.90105)