The Inverse Problem of the Calculus of Variations Local and Global Theory /

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...

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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Zenkov, Dmitry V. (Editor)
Format: Electronic eBook
Language:Inglés
Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
Edition:1st ed. 2015.
Series:Atlantis Studies in Variational Geometry, 2
Subjects:
Mathematical optimization.
Calculus of variations.
Global analysis (Mathematics).
Manifolds (Mathematics).
Geometry, Differential.
Gravitation.
Calculus of Variations and Optimization.
Global Analysis and Analysis on Manifolds.
Differential Geometry.
Classical and Quantum Gravity.
Online Access:Texto Completo
Table of Contents:
  • The Helmholtz Conditions and the Method of Controlled Lagrangians
  • The Sonin-Douglas Problem
  • Inverse Variational Problem and Symmetry in Action: The Relativistic Third Order Dynamics
  • Variational Principles for Immersed Submanifolds
  • Source Forms and their Variational Completions
  • First-Order Variational Sequences in Field Theory.

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