The Inverse Problem Of The Calculus Of Variations

Author : Dmitry V. Zenkov
Publisher : Springer
ISBN 13 : 9462391092
Total Pages : 296 pages
Book Rating : 4.93/5 ( download)

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Download or read book The Inverse Problem of the Calculus of Variations written by Dmitry V. Zenkov and published by Springer. This book was released on 2015-10-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ian Anderson
Publisher : American Mathematical Soc.
ISBN 13 : 082182533X
Total Pages : 122 pages
Book Rating : 4.34/5 ( download)

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Download or read book The Inverse Problem of the Calculus of Variations for Ordinary Differential Equations written by Ian Anderson and published by American Mathematical Soc.. This book was released on 1992 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores various aspects of the inverse problem of the calculus of variations for systems of ordinary differential equations. The main problem centres on determining the existence and degree of generality of Lagrangians whose system of Euler-Lagrange equations coicides with a given system of ordinary differential equations. The authors rederive the basic necessary and sufficient conditions of Douglas for second order equations and extend them to equations of higher order using methods of the variational bicomplex of Tulcyjew, Vinogradov, and Tsujishita. The authors present an algorithm, based upon exterior differential systems techniques, for solving the inverse problem for second order equations. a number of new examples illustrate the effectiveness of this approach.

Author : Nathan Abraham Moscovitch
Publisher :
ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.14/5 ( download)

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Download or read book Studies of the Inverse Problem of the Calculus of Variations written by Nathan Abraham Moscovitch and published by . This book was released on 1937 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Lincoln La Paz
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.12/5 ( download)

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Download or read book An Inverse Problem of the Calculus of Variations written by Lincoln La Paz and published by . This book was released on 1928 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : D. R. Davis
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.04/5 ( download)

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Download or read book Inverse Problem of the Calculus of Variations written by D. R. Davis and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jonathan E. Aldridge
Publisher :
ISBN 13 :
Total Pages : 181 pages
Book Rating : 4.73/5 ( download)

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Download or read book Aspects of the Inverse Problem in the Calculus of Variations written by Jonathan E. Aldridge and published by . This book was released on 2003 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bruce van Brunt
Publisher : Springer Science & Business Media
ISBN 13 : 0387216979
Total Pages : 295 pages
Book Rating : 4.73/5 ( download)

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Download or read book The Calculus of Variations written by Bruce van Brunt and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material.

Author :
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.89/5 ( download)

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Download or read book The Inverse Problem of the Calculus of Variations written by and published by . This book was released on 1999 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : G. E. Prince
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.71/5 ( download)

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Download or read book The Inverse Problem of the Calculus of Variations and Its Ramifications written by G. E. Prince and published by . This book was released on 1996 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : F. Takens
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.72/5 ( download)

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Download or read book A Global Version of the Inverse Problem of the Calculus of Variations written by F. Takens and published by . This book was released on 1977 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: