The Inverse Problem of the Calculus of Variations

The Inverse Problem of the Calculus of Variations

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Cod produs/ISBN: 9789462391086

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Editura: Springer

Limba: Engleza

Nr. pagini: 300

Coperta: Hardback

Dimensiuni: 15.6 x 1.8 x 23.4 cm

An aparitie: 2015

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).
Springer
An aparitie 2015
Autor Dmitry V. Zenkov
Dimensiuni 15.6 x 1.8 x 23.4 cm
Editura Springer
Format Hardback
ISBN 9789462391086
Limba Engleza
Nr pag 300

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