microbe 发表于 2025-3-21 16:24:13

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不吉祥的女人 发表于 2025-3-21 21:17:54

Direct Methods in the Calculus of Variations,tted functions, then physical or geometric insights into the problem might lead to the conclusion that it is indeed the desired extremal. In addition, the second variation provides necessary and also sufficient conditions on extremals.

infatuation 发表于 2025-3-22 03:18:27

0939-2475 roblems and proofs in the appendix.This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book .Variationsrechnung .(Vieweg+Teubner Ver

GAVEL 发表于 2025-3-22 08:05:56

Textbook 2018t derivatives. It is based on a translation of a German edition of the book .Variationsrechnung .(Vieweg+Teubner Verlag, 2010), translated and updated by the author himself.  Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well a

multiply 发表于 2025-3-22 10:48:18

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小歌剧 发表于 2025-3-22 13:38:35

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小歌剧 发表于 2025-3-22 18:05:48

Competitive Learning and Clustering,n perimeter or minimize the potential energy of a hanging chain with given length. These constraints belong to the class of isoperimetric constraints, and they are of the same type as the functional to be maximized or minimized.

事与愿违 发表于 2025-3-22 23:16:32

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玩笑 发表于 2025-3-23 05:10:46

Competitive Learning and Clustering,n perimeter or minimize the potential energy of a hanging chain with given length. These constraints belong to the class of isoperimetric constraints, and they are of the same type as the functional to be maximized or minimized.

组成 发表于 2025-3-23 06:16:24

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查看完整版本: Titlebook: Calculus of Variations; An Introduction to t Hansjörg Kielhöfer Textbook 2018 Springer International Publishing AG 2018 Euler-Lagrange Equa