Necessary optimality conditions for higher-order infinite horizon variational problems on time scales

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 t...

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Bibliographic Details
Main Author: Martins, N. (author)
Other Authors: Torres, D. F. M. (author)
Format: article
Language:eng
Published: 1000
Subjects:
Online Access:http://hdl.handle.net/10773/11877
Country:Portugal
Oai:oai:ria.ua.pt:10773/11877
Description
Summary: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. © 2012 Springer Science+Business Media, LLC.