| 期刊全称 | Brouwer Degree | | 期刊简称 | The Core of Nonlinea | | 影响因子2023 | George Dinca,Jean Mawhin | | 视频video | | | 发行地址 | 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 | | 学科分类 | Progress in Nonlinear Differential Equations and Their Applications | | 图书封面 |  | | 影响因子 | 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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发表于 2025-3-21 17:52:19
