Text

The Inverse Problem of the Calculus of Variations

---

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).

---

Availability

No copy data

Detail Information

Series Title

Atlantis Studies in Variational Geometry

Call Number

-

Publisher

Paris : Atlantis Press Paris., 2015

Collation

IX, 289

Language

English

ISBN/ISSN

978-94-6239-109-3

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

-

Edition

-

Subject(s)

Classical and Quantum Gravity

Specific Detail Info

-

Statement of Responsibility

Editors: Dmitry V. Zenkov

Other Information

Cataloger

Jemadi

Source

https://link.springer.com/content/pdf/10.2991/978-94-6239-109-3.pdf?pdf=button

Validator

-

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment