Research Topics in Analysis, Volume II Applications /
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 applicatio...
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| Principais autores: | , |
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| Formato: | Recurso Eletrônico livro eletrônico |
| Idioma: | inglês |
| Publicado em: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
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| Edição: | 1st ed. 2024. |
| coleção: | Birkhäuser Advanced Texts Basler Lehrbücher,
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| Acesso em linha: | https://doi.org/10.1007/978-3-031-64189-3 |
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| 100 | 1 | |a Hu, Shouchuan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Research Topics in Analysis, Volume II |h [electronic resource] : |b Applications / |c by Shouchuan Hu, Nikolaos S. Papageorgiou. |
| 250 | |a 1st ed. 2024. | ||
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| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Topology. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Topology. |
| 650 | 2 | 4 | |a Calculus of Variations and Optimization. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 700 | 1 | |a Papageorgiou, Nikolaos S. |e author. |0 (orcid)0000-0003-4800-1187 |1 https://orcid.org/0000-0003-4800-1187 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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