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arXiv · 1204.3329

Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales

Natalia Martins·Delfim F. M. Torres
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Abstract

We obtain Euler-Lagrange and transversality optimality conditions for higher-order infinite horizon variational problems on a time scale. The new necessary optimality conditions improve the classical results both in the continuous and discrete settings: our results seem new and interesting even in the particular cases when the time scale is the set of real numbers or the set of integers.

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Natalia Martins, Delfim F. M. Torres. 2012-04-15. Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales. https://doi.org/10.1007/s10957-012-0065-y

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