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Titlebook: Brouwer Degree; The Core of Nonlinea George Dinca,Jean Mawhin Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive li

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發(fā)表于 2025-3-21 17:52:19 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Brouwer Degree
期刊簡稱The Core of Nonlinea
影響因子2023George Dinca,Jean Mawhin
視頻videohttp://file.papertrans.cn/192/191310/191310.mp4
發(fā)行地址Explores the Brouwer degree and its continuing impact on the development of nonlinear analysis.Uses an analytical approach with the language of differential forms to introduce the Brouwer degree with
學(xué)科分類Progress in Nonlinear Differential Equations and Their Applications
圖書封面Titlebook: Brouwer Degree; The Core of Nonlinea George Dinca,Jean Mawhin Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive li
影響因子This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can be approached in various ways depending on the interests of the reader. Unifying this structure is the central role the Brouwer degree plays in nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for nonlinear mappings. Special attention is paid to the computation of the degree, as well as to the wide array of applications, such as linking, differential and partial differential equations, difference equations, variational and hemivariational inequalities, game theory, and mechanics. Each chapter features bibliographic and historical notes, and the final chapter examines the full history. .Brouwer Degree. will serve as an authoritative reference on the topic and will be of interest to professional mathematicians, researchers, and graduate students.
Pindex Book 2021
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Infinite-Dimensional Problems,pings in some infinite-dimensional topological vector spaces. In this way, extensions of the Kakutani fixed point theorem are obtained for set-valued self-mappings of compact subsets in locally convex topological vector spaces (Ky Fan fixed point theorem), with their important special cases for sing
地板
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Difference Equations,ears. For first order equations, special attention is paid on their periodic solutions, by analogy with the case of ordinary differential equations. The method of lower and upper solutions is developed and presents some interesting distinct features from the corresponding differential case. Combined
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History of the Brouwer Fixed Point Theorem,owing the ‘nonlinear’ character of the evolution of mathematics. After describing and commenting the fundamental contribution of Brouwer, it is shown how it has been in one way or another anticipated by Poincaré (with his .-dimensional intermediate value theorem), Hadamard (with his first published
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Politische Entscheidung als Phasenmodell???1)-differential form depending upon . and its partial derivatives. For .?=?2, it is the Cauchy index or winding number of . on ., the algebraic number of turns of . around the closed curve .. The Gauss linking number of two curves is a special case of the Kronecker index in .. Various expressions
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