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Sufficient conditions in the calculus of variations and in the theory of optimal control

Author: Zeev Nehari
Journal: Proc. Amer. Math. Soc. 39 (1973), 535-539
MSC: Primary 49B10
MathSciNet review: 0319007
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Abstract: A method is described for obtaining criteria confirming the optimality of solutions found either by integrating the Euler-Lagrange equations, or by applying the Pontrjagin necessary condition. The method is based on convexity considerations, and its success in a given problem depends on the judicious choice of certain arbitrary auxiliary functions.

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Article copyright: © Copyright 1973 American Mathematical Society

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