The Inverse Problem of the Calculus of Variations: Local and Global Theory (Atlantis Studies in Variational Geometry, 2, Band 2) - Hardcover

 
9789462391086: The Inverse Problem of the Calculus of Variations: Local and Global Theory (Atlantis Studies in Variational Geometry, 2, Band 2)
Hardcover
ISBN 10: 9462391084 ISBN 13: 9789462391086
Verlag: Atlantis Press, 2015

Inhaltsangabe

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).

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

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).

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Atlantis Press
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
9462391084
ISBN 13 
9789462391086
Einband
Gebundene Ausgabe
Anzahl der Seiten
298
Herausgeber
Zenkov Dmitry V.
Kontakt zum Hersteller
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Poststr. 9
Darmstadt
64293
Deutschland

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Vorgestellte Ausgabe

ISBN 10:  9462391106 ISBN 13:  9789462391109
Verlag: Atlantis Press, 2015
Softcover