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This paper studies an inversion of functional equation for Bellman's infinite-stage allocation process. Obtaining a sufficient condition under which Bellman's (main) functional equation has a unique i...nvertible solution, we propose additive and recursive-inverse functional equations which have a common solution. It is proved that the additive-inverse functional equation has a unique solution in a moderate class of functions. The solution is obtained from two successive approximation methods.続きを見る
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