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Research topics in analysis.. Volume II,. Applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Research topics in analysis./ by Shouchuan Hu, Nikolaos S. Papageorgiou.
其他題名:	Applications
作者:	Hu, Shouchuan.
其他作者:	Papageorgiou, Nikolaos Socrates.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xii, 725 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1007/978-3-031-64189-3
ISBN:	9783031641893

Research topics in analysis.. Volume II,. Applications
Hu, Shouchuan.

Research topics in analysis.Volume II,Applications[electronic resource] /Applicationsby Shouchuan Hu, Nikolaos S. Papageorgiou. - Cham :Springer Nature Switzerland :2024. - xii, 725 p. :ill., digital ;24 cm. - Birkhäuser advanced texts Basler Lehrbücher,2296-4894. - Birkhäuser advanced texts Basler Lehrbücher..

Degree Theory -- Fixed Point Theory -- Critical Point Theory -- Spectra of Differential Operators -- Elliptic Boundary Value Problems -- Evolution Equations -- Calculus of Variations -- Mathematical Economics and Game Theory -- References -- Index.

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 field of mathematics.

ISBN: 9783031641893

Standard No.: 10.1007/978-3-031-64189-3doiSubjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

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