Band 2
The Inverse Problem of the Calculus of Variations Local and Global Theory
Aus der Reihe
Atlantis Studies in Variational Geometry
Fr. 72.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
27.10.2015
Herausgeber
Dmitry V. ZenkovVerlag
Atlantis PressSeitenzahl
289
Maße (L/B/H)
24.1/16/2.2 cm
Gewicht
590 g
Auflage
2015
Sprache
Englisch
ISBN
978-94-6239-108-6
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).
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