The Inverse Problem Of The Calculus Of Variations Local And Global Theory Vol 2 at Meripustak

The Inverse Problem Of The Calculus Of Variations Local And Global Theory Vol 2

Books from same Author: ZENKOV D V

Books from same Publisher: SPRINGER

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  • General Information  
    Author(s)ZENKOV D V
    PublisherSPRINGER
    ISBN9789462391086
    Pages289
    BindingHardbound
    LanguageEnglish
    Publish YearOctober 2015

    Description

    SPRINGER The Inverse Problem Of The Calculus Of Variations Local And Global Theory Vol 2 by ZENKOV D V

    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).