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A numerical method of solving the cauchy problem for Bellman's equation in the time-optimal problem for a linear system

✍ Scribed by A.V. Lotov

Publisher: Elsevier Science
Year: 1972
Weight: 276 KB
Volume: 12
Category: Article
ISSN: 0041-5553
DOI: 10.1016/0041-5553(72)90128-0

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## Abstract Let __D__ ⊂ ℝ^__n__^ be a bounded domain with piecewise‐smooth boundary, and __q__(__x__,__t__) a smooth function on __D__ × [0, __T__]. Consider the time‐like Cauchy problem magnified image magnified image Given __g__, __h__ for which the equation has a solution, we show how to approxi