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.
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References
M. Giaquinta, S. Hildebrandt, Calculus of Variations I. A Series of Comprehensive Studies in Mathematics, vol. 310 (Springer, Berlin, 1996)
M. Giaquinta, S. Hildebrandt, Calculus of Variations II. A Series of Comprehensive Studies in Mathematics, vol. 311 (Springer, Berlin, 1996)
J.L. Troutman, Variational Calculus and Optimal Control, 2nd edn. (Springer, New York, 1996)
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Botelho, F. (2014). Basic Concepts on the Calculus of Variations. In: Functional Analysis and Applied Optimization in Banach Spaces. Springer, Cham. https://doi.org/10.1007/978-3-319-06074-3_9
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DOI: https://doi.org/10.1007/978-3-319-06074-3_9
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Online ISBN: 978-3-319-06074-3
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