On the conditions under which the euler equation or the maximum principle hold |
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| Authors: | Frank H Clarke R B Vinter |
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| Institution: | (1) Centre de Recherche de Mathématiques Appliquées, Université de Montréal, H3C 3J7 Montréal, Québec, Canada;(2) Department of Electrical Engineering, Imperial College, SW7 2BT London, England |
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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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