Basic Concepts on the Calculus of Variations

Fabio Botelho
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Fabio Botelho: Federal University of Pelotas, Department of Mathematics and Statistics

Chapter Chapter 9 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 225-249 from Springer

Abstract: Abstract In chapter 9 we present basic concepts on the calculus of variations. The results developed include the definition of Gâteaux variation and the classical Weierstrass necessary condition.

Keywords: Calculus; Classical Weierstrass; Weierstrass Condition; Elementary Convexity; Legendre-Hadamard Condition (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06074-3_9

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DOI: 10.1007/978-3-319-06074-3_9

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