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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
DOI: https://doi.org/10.1090/S0002-9939-1973-0319007-1
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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DOI: https://doi.org/10.1090/S0002-9939-1973-0319007-1
Article copyright: © Copyright 1973 American Mathematical Society