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Integration of a linear many-valued mapping of a special type

Authors:	V V Ostapenko I P Grabovol

Abstract:	We consider the solvability of the integral equation $\int\limits_0^1 {C\left( \tau \right)Wd\tau = \int\limits_0^1 {C\left( \tau \right)\alpha \tau W} }$ for the unknown set W. A. bound of the integral $\int\limits_0^1 {C\left( \tau \right) Md\tau }$ is given for some class of sets M. The results are applied in differential games.Translated from Kibernetika, No. 3, pp. 90–95, May–June 1990.

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