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arxiv: 1401.8232 · v1 · pith:277UVRM5new · submitted 2014-01-31 · 🧮 math.OC

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

classification 🧮 math.OC
keywords arbitraryinverseproblemscalestimevariationalattainscalculus
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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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