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On the conditions under which the euler equation or the maximum principle hold

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Abstract

A variational problem is analyzed in which the integrand is a polynomial and satisfies the hypotheses of the classical existence theory. It is shown nonetheless that the solution does not satisfy the usual necessary conditions.

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Authors and Affiliations

  1. Centre de Recherche de Mathématiques Appliquées, Université de Montréal, H3C 3J7, Montréal, Québec, Canada

    Frank H. Clarke

  2. Department of Electrical Engineering, Imperial College, SW7 2BT, London, England

    R. B. Vinter

Authors
  1. Frank H. Clarke
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  2. R. B. Vinter
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Communicated by A. V. Balakrishnan

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Clarke, F.H., Vinter, R.B. On the conditions under which the euler equation or the maximum principle hold. Appl Math Optim 12, 73–79 (1984). https://doi.org/10.1007/BF01449034

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  • DOI: https://doi.org/10.1007/BF01449034

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