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arXiv · 1401.8232

An Inverse Problem of the Calculus of Variations on Arbitrary Time Scales

Monika Dryl·Agnieszka B. Malinowska·Delfim F. M. Torres
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Abstract

We consider an inverse extremal problem for variational functionals on arbitrary time scales. Using the Euler-Lagrange equation and the strengthened Legendre condition, we derive a general form for a variational functional that attains a local minimum at a given point of the vector space.

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Monika Dryl, Agnieszka B. Malinowska, Delfim F. M. Torres. 2014-01-31. An Inverse Problem of the Calculus of Variations on Arbitrary Time Scales. https://arxiv.org/abs/1401.8232

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