Abstract
In most of the examples in Chapter 3, we examined a real-valued function F defined on a domain of functions D. We obtained for F an integral condition in the form I(y; v) = 0, ∀ v in an auxiliary domain D0, which is sufficient to guarantee that each y ∈ D that satisfies it must minimize F on D.
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© 1996 Springer Science+Business Media New York
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Troutman, J.L. (1996). The Lemmas of Lagrange and du Bois-Reymond. In: Variational Calculus and Optimal Control. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0737-5_5
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DOI: https://doi.org/10.1007/978-1-4612-0737-5_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6887-1
Online ISBN: 978-1-4612-0737-5
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