Inverse Problem of the Calculus of Variations (e-bog) af -
Zenkov, Dmitry V. (redaktør)

Inverse Problem of the Calculus of Variations e-bog

436,85 DKK (inkl. moms 546,06 DKK)
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 rela...
E-bog 436,85 DKK
Forfattere Zenkov, Dmitry V. (redaktør)
Udgivet 15 oktober 2015
Genrer PBK
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9789462391093
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).