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Elements of Variational Calculus

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Book cover Optimal Control in Thermal Engineering

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 93))

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Abstract

Variational calculus (also called calculus of variations) deals with extremization of those maps whose definition domain is a space of infinite size, sometimes called curves space or functions space. The maps of this type are called functionals. In general, functional is called any mapping of the functions space on the real straight line. This chapter reminds basic results of classical variational calculus.

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References

  • Caratheodory, C.: Variationsrechnung und partielle Differentialgleichunge erster Ordnung Teubner, Leipzig (1935)

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Correspondence to Viorel Badescu .

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Badescu, V. (2017). Elements of Variational Calculus. In: Optimal Control in Thermal Engineering. Studies in Systems, Decision and Control, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-319-52968-4_3

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  • DOI: https://doi.org/10.1007/978-3-319-52968-4_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-52967-7

  • Online ISBN: 978-3-319-52968-4

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