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Fields of extremals and sufficient conditions for the simplest problem of the calculus of variations

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Abstract

In this paper we present an elementary proof of a classical sufficient condition for free problems in the calculus of variations using an extension of the direct sufficiency method, originating in the work of G. Leitmann (Int. J. NonLin. Mech. 2, 55–59 (1967)), found in D.A. Carlson (J. Optim. Theory Appl. 114, 345–362 (2002)).

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Authors and Affiliations

  1. American Mathematical Society, Mathematical Reviews, 416 Fourth Street, Ann Arbor, MI, 48103, USA

    Dean A. Carlson

  2. University of California at Berkeley, Berkeley, CA, 94720, USA

    George Leitmann

Authors
  1. Dean A. Carlson
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  2. George Leitmann
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Correspondence to Dean A. Carlson.

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Carlson, D.A., Leitmann, G. Fields of extremals and sufficient conditions for the simplest problem of the calculus of variations. J Glob Optim 40, 41–50 (2008). https://doi.org/10.1007/s10898-007-9171-z

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  • DOI: https://doi.org/10.1007/s10898-007-9171-z

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