کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9517015 | 1633128 | 2005 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Application of topology in optimization theory
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In 1958 the author gave a proof of the Maximum Principle [Dokl. Akad. Nauk SSSR 119 (6) (1958) 1070-1073] in the Theory of Optimal Control. B. Pshenichni had written that the proof was a little sensational, since it used topology to obtain a result of variational calculus. Later the author worked out the Tent Method [Russian Math. Surveys 30 (3) (1975) 1-54] that is a general way to solve some extremal problems. In fact, main ideas of the Method were contained in the proof of the Maximum Principle [Dokl. Akad. Nauk SSSR 119 (6) (1958) 1070-1073]. In the talk a short survey of the Tent Method and the idea of the proof of the Maximum Principle are explained, paying attention to necessary topological tools.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volumes 146â147, 1 January 2005, Pages 617-628
Journal: Topology and its Applications - Volumes 146â147, 1 January 2005, Pages 617-628
نویسندگان
V. Boltyanski,