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Integration of linear multiform mappings. (Russian) Zbl 0664.90105

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
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