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Titlebook: Geometrical Methods in Variational Problems; N. A. Bobylev,S. V. Emel’yanov,S. K. Korovin Book 1999 Springer Science+Business Media Dordre

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书目名称Geometrical Methods in Variational Problems
编辑N. A. Bobylev,S. V. Emel’yanov,S. K. Korovin
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Geometrical Methods in Variational Problems;  N. A. Bobylev,S. V. Emel’yanov,S. K. Korovin Book 1999 Springer Science+Business Media Dordre
出版日期Book 1999
关键词Mathematica; functional analysis; optimization; partial differential equations; ordinary differential eq
版次1
doihttps://doi.org/10.1007/978-94-011-4629-6
isbn_softcover978-94-010-5955-8
isbn_ebook978-94-011-4629-6
copyrightSpringer Science+Business Media Dordrecht 1999
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Minimization of Nonlinear Functionals,lculus of variations, optimal control theory, mathematical physics, mechanics, .. In this chapter, we present general theorems of the minimum of nonlinear functionals, which form a basis of variational methods.
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Topological Characteristics of Extremals of Variational Problems,valent to it; these theories originate in the classical studies of Poincaré, Brouwer, Kronecker, Hopf, Leray, and Schauder. The apparatus of the degree theory of mapping is one of the basic tools of nonlinear analysis and its applications. Therefore, we present the auxiliary material of this chapter in a detailed and self-contained manner.
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https://doi.org/10.1007/978-94-011-4629-6Mathematica; functional analysis; optimization; partial differential equations; ordinary differential eq
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978-94-010-5955-8Springer Science+Business Media Dordrecht 1999
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