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The Inverse Problem of the Calculus of Variations = Local and Global Theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Inverse Problem of the Calculus of Variations/ edited by Dmitry V. Zenkov.
Reminder of title:	Local and Global Theory /
other author:	Zenkov, Dmitry V.
Description:	IX, 289 p. 3 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Calculus of variations. -
Online resource:	https://doi.org/10.2991/978-94-6239-109-3
ISBN:	9789462391093

The Inverse Problem of the Calculus of Variations = Local and Global Theory /
The Inverse Problem of the Calculus of VariationsLocal and Global Theory /[electronic resource] :edited by Dmitry V. Zenkov. - 1st ed. 2015. - IX, 289 p. 3 illus. in color.online resource. - Atlantis Studies in Variational Geometry,22214-0700 ;. - Atlantis Studies in Variational Geometry,2.

The Helmholtz Conditions and the Method of Controlled Lagrangians -- The Sonin–Douglas Problem -- Inverse Variational Problem and Symmetry in Action: The Relativistic Third Order Dynamics -- Variational Principles for Immersed Submanifolds -- Source Forms and their Variational Completions -- First-Order Variational Sequences in Field Theory.

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).

ISBN: 9789462391093

Standard No.: 10.2991/978-94-6239-109-3doiSubjects--Topical Terms:

527927
Calculus of variations.

LC Class. No.: QA315-316

Dewey Class. No.: 515.64

The Inverse Problem of the Calculus of Variations = Local and Global Theory /
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