Description: The Inverse Problem of the Calculus of Variations Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Local and Global Theory Author(s): Dmitry V. Zenkov Format: Hardback Publisher: Atlantis Press (Zeger Karssen), Netherlands Imprint: Atlantis Press (Zeger Karssen) ISBN-13: 9789462391086, 978-9462391086 Synopsis The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, [url] 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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Location: Aldershot
End Time: 2025-01-26T09:06:11.000Z
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Book Title: The Inverse Problem of the Calculus of Variations
Number of Pages: 289 Pages
Publication Name: The Inverse Problem of the Calculus of Variations: Local and Global Theory
Language: English
Publisher: Atlantis Press (Zeger Karssen)
Item Height: 235 mm
Subject: Mathematics, Physics
Publication Year: 2015
Type: Textbook
Item Weight: 5738 g
Author: Dmitry V. Zenkov
Item Width: 155 mm
Series: Atlantis Studies in Variational Geometry
Format: Hardcover
