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The Inverse Problem of the Calculus ...
~
Zenkov, Dmitry V.
The Inverse Problem of the Calculus of Variations = Local and Global Theory /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
The Inverse Problem of the Calculus of Variations/ edited by Dmitry V. Zenkov.
其他題名:
Local and Global Theory /
其他作者:
Zenkov, Dmitry V.
面頁冊數:
IX, 289 p. 3 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Calculus of variations. -
電子資源:
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 Variations
Local 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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