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arxiv: 1603.04034 · v2 · pith:IMIVODRRnew · submitted 2016-03-13 · 🧮 math.OC

Higher-order variational problems of Herglotz type with time delay

classification 🧮 math.OC
keywords higher-ordertypeherglotzproblemsvariationaldelaytimeconditions
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We study, using an optimal control point of view, higher-order variational problems of Herglotz type with time delay. Main results are higher-order Euler-Lagrange and DuBois-Reymond necessary optimality conditions as well as a higher-order Noether type theorem for delayed variational problems of Herglotz type.

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