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 Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4083

title: Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
authors: Malinowska, A.B.
Torres, D.F.M.
keywords: Calculus of variations
Strong minimizers
Time scales
Weierstrass optimality condition
issue date: 2009
publisher: Estonian Academy Publishers
abstract: We introduce the notion of strong local minimizer for the problems of the calculus of variations on time scales. Simple examples show that on a time scale a weak minimum is not necessarily a strong minimum. A time scale form of the Weierstrass necessary optimality condition is proved, which enables to include and generalize in the same result both continuous-time and discrete-time conditions.
URI: http://hdl.handle.net/10773/4083
ISSN: 1736-6046
source: Proceedings of the Estonian Academy of Sciences
appears in collectionsMAT - Artigos

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