书目名称 | Research Topics in Analysis, Volume II | 副标题 | Applications | 编辑 | Shouchuan Hu,Nikolaos S. Papageorgiou | 视频video | | 概述 | Presents a set of relevant applications for understanding modern analysis.Introduces suitable frameworks for immediate application.Provides valuable resource for both mature graduate students and expe | 丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher | 图书封面 |  | 描述 | .This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfields of this broad subject and introduces relevant frameworks for immediate deployment...The applications list begins with Degree Theory, a useful tool for studying nonlinear equations. Chapter 2 deals with Fixed Point Theory, and Chapter 3 introduces Critical Point Theory. Chapter 4 presents the main spectral properties of linear, nonlinear, anisotropic, and double-phase differential operators. Chapter 5 covers semilinear and nonlinear elliptic equations with different boundary conditions, while Chapter 6 addresses dynamic systems monitored by ordinary and partial differential equations. Chapter 7 delves into optimal control problems, and Chapter 8 discusses some economic models, providing a brief presentation of Game Theory and Nash equilibrium...By offering a clear and comprehensive overview of modern analysis tools and applications, this work can greatly benefit mature graduate students seeking research topics, as well as experienced researchers interested in this vast and rich fiel | 出版日期 | Textbook 2024 | 关键词 | functional analysis; convex analysis; measure theory; Banach space theory; function spaces; Lebesgue spac | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-64189-3 | isbn_softcover | 978-3-031-64191-6 | isbn_ebook | 978-3-031-64189-3Series ISSN 1019-6242 Series E-ISSN 2296-4894 | issn_series | 1019-6242 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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