Yu. L. Sachkov, Optimality of Euler's elasticae

Title: Optimality of Euler's elasticae
Authors: Yu. L. Sachkov
Journal title: Doklady Mathematics
Year: 2007
Issue: 3
Volume: 76
Pages: 817 – 819

Euler’s problem of stationary configurations of an elastic rod with fixed endpoints and tangents at the end-points is considered. The existence and boundedness of optimal controls are proved. Bounds on the cut points and conjugate points are obtained

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