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The Sonin–Douglas Problem

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Book cover The Inverse Problem of the Calculus of Variations

Part of the book series: Atlantis Studies in Variational Geometry ((ASVG,volume 2))

Abstract

The Sonin-Douglas inverse problem of the calculus of variations is considered.

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Acknowledgments

The author is indebted to V.D. Skarzhinski for the reference to Sonin’s work on the inverse problem of the calculus of variations and for the discussions on this topic during the International Conference on Differential Geometry and its Applications, Brno, August 24–30, 1986. He also acknowledges the support from the Lepage Research Institute.

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Authors and Affiliations

  1. Lepage Research Institute, 783 42, Slatinice, Czech Republic

    Demeter Krupka

  2. Faculty of Science, Department of Mathematics, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czech Republic

    Demeter Krupka

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  1. Demeter Krupka
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Correspondence to Demeter Krupka .

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Editors and Affiliations

  1. North Carolina State University Dept. Mathematics, Raleigh, North Carolina, USA

    Dmitry V. Zenkov

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Krupka, D. (2015). The Sonin–Douglas Problem. In: Zenkov, D. (eds) The Inverse Problem of the Calculus of Variations. Atlantis Studies in Variational Geometry, vol 2. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-109-3_2

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