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Title: Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
Author: 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.
Peer review: yes
ISSN: 1736-6046
Appears in Collections:DMat - Artigos

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