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

Natália Martins () and Delfim F. M. Torres ()
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Natália Martins: University of Aveiro
Delfim F. M. Torres: University of Aveiro

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 6, 453-476

Abstract: 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.

Keywords: Time scales; Calculus of variations; Infinite horizon problems; Euler–Lagrange equations; Transversality conditions (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0065-y

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