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Calculus of Variations

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Abstract

A very important problem of the differential calculus is to determine for which x values the given function y(x) has extreme values. The calculus of variations discusses the following problem: For which functions has a certain integral, whose integrand depends also on the unknown function and its derivatives, an extremum value?

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Correspondence to Gerhard Musiol .

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Bronshtein, I.N., Semendyayev, K.A., Musiol, G., Mühlig, H. (2015). Calculus of Variations. In: Handbook of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46221-8_10

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  • DOI: https://doi.org/10.1007/978-3-662-46221-8_10

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