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Titlebook: Nonlinear Functional Analysis: A First Course; S. Kesavan Textbook 2022Latest edition Hindustan Book Agency 2022 nonlinear analysis.degree

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樓主
發(fā)表于 2025-3-21 18:42:20 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Nonlinear Functional Analysis: A First Course
編輯S. Kesavan
視頻videohttp://file.papertrans.cn/668/667517/667517.mp4
概述Discusses basic theory of topological and variational methods used in solving nonlinear equations.Includes the proof and applications of the discussed methods.Provides solved examples and exercises of
叢書名稱Texts and Readings in Mathematics
圖書封面Titlebook: Nonlinear Functional Analysis: A First Course;  S. Kesavan Textbook 2022Latest edition Hindustan Book Agency 2022 nonlinear analysis.degree
描述.The book discusses the basic theory of topological and variational methods used in solving nonlinear equations involving mappings between normed linear spaces. It is meant to be a primer of nonlinear analysis and is designed to be used as a text or reference book by graduate students. Frechet derivative, Brouwer fixed point theorem, Borsuk‘s theorem, and bifurcation theory along with their applications have been discussed. Several solved examples and exercises have been carefully selected and included in the present edition. The prerequisite for following this book is the basic knowledge of functional analysis and topology..
出版日期Textbook 2022Latest edition
關(guān)鍵詞nonlinear analysis; degree theory; bifurcation theory; critical points; nonlinear partial differential e
版次2
doihttps://doi.org/10.1007/978-981-16-6347-5
isbn_ebook978-981-16-6347-5Series ISSN 2366-8717 Series E-ISSN 2366-8725
issn_series 2366-8717
copyrightHindustan Book Agency 2022
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沙發(fā)
發(fā)表于 2025-3-21 22:14:48 | 只看該作者
,Critical Points of?Functionals,cal points of appropriate functionals. Let . be a real Hilbert space, and let . be a differentiable functional. Then, for ., we have ., the dual space, and by the Riesz representation theorem, . can be identified with .. Thus, . can be thought of as a mapping of . into itself and . for all ., where . denotes the inner product of ..
板凳
發(fā)表于 2025-3-22 01:26:25 | 只看該作者
Texts and Readings in Mathematicshttp://image.papertrans.cn/n/image/667517.jpg
地板
發(fā)表于 2025-3-22 07:45:11 | 只看該作者
https://doi.org/10.1007/978-981-16-6347-5nonlinear analysis; degree theory; bifurcation theory; critical points; nonlinear partial differential e
5#
發(fā)表于 2025-3-22 10:19:38 | 只看該作者
S. KesavanDiscusses basic theory of topological and variational methods used in solving nonlinear equations.Includes the proof and applications of the discussed methods.Provides solved examples and exercises of
6#
發(fā)表于 2025-3-22 15:10:16 | 只看該作者
Hindustan Book Agency 2022
7#
發(fā)表于 2025-3-22 19:14:16 | 只看該作者
Nonlinear Functional Analysis: A First Course978-981-16-6347-5Series ISSN 2366-8717 Series E-ISSN 2366-8725
8#
發(fā)表于 2025-3-23 01:14:10 | 只看該作者
The Brouwer Degree,The topological degree is a useful tool in the study of existence of solutions to nonlinear equations. In this chapter, we will study the finite dimensional version of the degree, known as the Brouwer degree.
9#
發(fā)表于 2025-3-23 01:22:38 | 只看該作者
,The Leray–Schauder Degree,Let . be a real Banach space. A compact perturbation of the identity in . is closed (i.e. maps closed sets into closed sets) and proper (i.e. inverse images of compact sets are compact).
10#
發(fā)表于 2025-3-23 06:24:25 | 只看該作者
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