Research Topics in Analysis, Volume II
Springer International Publishing (Verlag)
978-3-031-64188-6 (ISBN)
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.
Shouchuan Hu is a Distinguished Professor at Missouri State University, USA. He holds a PhD in Mathematics from the University of Texas at Arlington. Dr. Hu is Director of the AIMS - American Institute of Mathematical Sciences and Editor-in-Chief of the "Discrete and Continuous Dynamical Systems" journal. He co-authored, along with Dr. Papageorgiou, the two-volume set "Handbook of Multivalued Analysis" (1997), published by Springer.
Nikolaos S. Papageorgiou is a Professor at the National Technical University of Athens, Greece. He holds a PhD in Applied Mathematics (1983) from Harvard University, USA, and degrees in Mathematics and Electrical Engineering, both from Massachusetts Institute of Technology - MIT. Dr. Papageorgiou has co-authored over a dozen books, including "Exercises in Analysis" (2016) and "Nonlinear Analysis - Theory and Methods" (2019), both published by Springer.
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.
| Erscheinungsdatum | 27.08.2024 |
|---|---|
| Reihe/Serie | Birkhäuser Advanced Texts Basler Lehrbücher |
| Zusatzinfo | XII, 725 p. 5 illus., 2 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Banach Space Theory • Calculus of Variations • Convex Analysis • critical point theory • Degree Theory • differential calculus in normed spaces • elliptic boundary value problems • Evolution Equations • Fixed Point Theory • Functional Analysis • function spaces • Game Theory • Hilbert spaces • Lebesgue Spaces • measure theory • multivalued analysis • Nash Equilibrium • Sobolev spaces • spectra of differential operators • variational analysis |
| ISBN-10 | 3-031-64188-4 / 3031641884 |
| ISBN-13 | 978-3-031-64188-6 / 9783031641886 |
| Zustand | Neuware |
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