{"product_id":"the-inverse-problem-of-the-calculus-of-variations-von-undefined","title":"The Inverse Problem of the Calculus of Variations","description":"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).\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789462391086\"\u003e\u003ch3\u003eLocal and Global Theory\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9789462391086","offer_id":39469302612061,"sku":"9789462391086","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/2f904939-cb74-414a-ac6f-39d220280e64.jpg?v=1772176330","url":"https:\/\/shop.autorenwelt.de\/products\/the-inverse-problem-of-the-calculus-of-variations-von-undefined","provider":"Autorenwelt Shop","version":"1.0","type":"link"}