| 书目名称 | Connectedness and Necessary Conditions for an Extremum |
| 编辑 | Alexander P. Abramov |
| 视频video | http://file.papertrans.cn/236/235588/235588.mp4 |
| 丛书名称 | Mathematics and Its Applications |
| 图书封面 |  |
| 描述 | The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremum. Apparently this monograph is the first book in the theory of maxima and minima where topological connectedness is used so widely for this purpose. Its application permits us to obtain new results in this sphere and to consider the classical results from a nonstandard point of view. Regarding the style of the present book it should be remarked that it is comparatively elementary. The author has made constant efforts to make the book as self-contained as possible. Certainly, familiarity with the basic facts of topology, functional analysis, and the theory of optimization is assumed. The book is written for applied mathematicians and graduate students interested in the theory of optimization and its applications. We present the synthesis of the well known Dybovitskii‘-Milyutin ap proach for the study of necessary conditions for an extremum, based on functional analysis, and topological methods. This synthesis allows us to show that in some cases we have the following important result: if the Euler equation has no non trivia |
| 出版日期 | Book 1998 |
| 关键词 | Euler–Lagrange equation; Optimal control; functional analysis; linear optimization; nonlinear optimizati |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-015-9119-5 |
| isbn_softcover | 978-90-481-4981-0 |
| isbn_ebook | 978-94-015-9119-5 |
| copyright | Springer Science+Business Media B.V. 1998 |
|Archiver|手机版|小黑屋|
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