03715nam a22005895i 4500 978-3-031-64189-3 DE-He213 20251030112912.0 cr nn 008mamaa 240826s2024 sz | s |||| 0|eng d 9783031641893 978-3-031-64189-3 10.1007/978-3-031-64189-3 doi QA319-329.9 PBKF bicssc MAT037000 bisacsh PBKF thema Hu, Shouchuan. author. aut http://id.loc.gov/vocabulary/relators/aut 82894 Research Topics in Analysis, Volume II [electronic resource] : Applications / by Shouchuan Hu, Nikolaos S. Papageorgiou. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XII, 725 p. 5 illus., 2 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Birkhäuser Advanced Texts Basler Lehrbücher, 2296-4894 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. Functional analysis. Topology. 72917 Mathematical optimization. 65522 Calculus of variations. 67268 Mathematics. 65523 Functional Analysis. Topology. 72917 Calculus of Variations and Optimization. 67270 Applications of Mathematics. 65529 Papageorgiou, Nikolaos S. author. aut http://id.loc.gov/vocabulary/relators/aut 82895 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031641886 Printed edition: 9783031641909 Printed edition: 9783031641916 Birkhäuser Advanced Texts Basler Lehrbücher, 2296-4894 80556 https://doi.org/10.1007/978-3-031-64189-3 ZDB-2-SMA ZDB-2-SXMS 62737 62737