EAN: 9789462391086

THE INVERSE PROBLEM OF THE CALCULUS OF VARIATIO...

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).

Aktuelle Preise zur EAN 9789462391086

Produktinformationen zur 9789462391086