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Inverse Problem of the Calculus of Variations

Local and Global Theory

Inbunden, Engelska, 2015

Av Dmitry V. Zenkov

709 kr

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The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also considered. The book includes the following chapters: - Helmholtz conditions and the method of controlled Lagrangians (Bloch, Krupka, Zenkov) - The Sonin-Douglas's problem (Krupka) - Inverse variational problem and symmetry in action: The Ostrogradskyj relativistic third order dynamics (Matsyuk.) - Source forms and their variational completion (Voicu) - First-order variational sequences and the inverse problem of the calculus of variations (Urban, Volna) - The inverse problem of the calculus of variations on Grassmann fibrations (Urban).

Produktinformation

  • Utgivningsdatum2015-10-27
  • Mått155 x 235 x 22 mm
  • Vikt617 g
  • FormatInbunden
  • SpråkEngelska
  • SerieAtlantis Studies in Variational Geometry
  • Antal sidor289
  • Upplaga2015
  • FörlagAtlantis Press (Zeger Karssen)
  • ISBN9789462391086