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Atlantis Press
The Inverse Problem of the Calculus of Variations : Local and Global Theory
Product Code:
9789462391086
ISBN13:
9789462391086
Condition:
New
$60.77
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).
| Author: Dmitry V. Zenkov |
| Publisher: Atlantis Press |
| Publication Date: Oct 27, 2015 |
| Number of Pages: NA pages |
| Language: English |
| Binding: Hardcover |
| ISBN-10: 9462391084 |
| ISBN-13: 9789462391086 |
The Inverse Problem of the Calculus of Variations : Local and Global Theory
$60.77
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).
| Author: Dmitry V. Zenkov |
| Publisher: Atlantis Press |
| Publication Date: Oct 27, 2015 |
| Number of Pages: NA pages |
| Language: English |
| Binding: Hardcover |
| ISBN-10: 9462391084 |
| ISBN-13: 9789462391086 |
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