| 书目名称 | The Inverse Problem of the Calculus of Variations |
| 副标题 | Local and Global The |
| 编辑 | Dmitry V. Zenkov |
| 视频video | |
| 概述 | Unified exposition of the inverse variational problem for ordinary and partial differential equations and for equations on manifolds.First systematic contribution to the global inverse problem of the |
| 丛书名称 | Atlantis Studies in Variational Geometry |
| 图书封面 |  |
| 描述 | 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). |
| 出版日期 | Book 2015 |
| 关键词 | Euler-Lagrange form; Helmholtz conditions; Lagrangian; Source form; Variational sequence |
| 版次 | 1 |
| doi | https://doi.org/10.2991/978-94-6239-109-3 |
| isbn_ebook | 978-94-6239-109-3Series ISSN 2214-0700 Series E-ISSN 2214-0719 |
| issn_series | 2214-0700 |
| copyright | Atlantis Press and the author(s) 2015 |
发表于 2025-3-21 17:28:09
