On Interrelations Between Different Versions of the Method of Program Iterations: A Positional Version |
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| Authors: | A. G. Chentsov |
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| Affiliation: | (1) Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia |
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| Abstract: | Relations between different versions of the method of program iterations are considered. This method was earlier used to solve a differential pursuit-evasion game in the formalization of N. N. Krasovskii. Multi-valued analogs of quasistrategies and the solvability set of a game are investigated for the case of an abstract dynamic system in an infinite-dimensional space. |
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| Keywords: | differential game method of program iterations operator of program absorption fixed point |
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