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020 _a9783031641893
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024 7 _a10.1007/978-3-031-64189-3
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100 1 _aHu, Shouchuan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982894
245 1 0 _aResearch Topics in Analysis, Volume II
_h[electronic resource] :
_bApplications /
_cby Shouchuan Hu, Nikolaos S. Papageorgiou.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXII, 725 p. 5 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
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490 1 _aBirkhäuser Advanced Texts Basler Lehrbücher,
_x2296-4894
505 0 _aDegree 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 _aThis 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.
650 0 _aFunctional analysis.
650 0 _aTopology.
_972917
650 0 _aMathematical optimization.
_965522
650 0 _aCalculus of variations.
_967268
650 0 _aMathematics.
_965523
650 1 4 _aFunctional Analysis.
650 2 4 _aTopology.
_972917
650 2 4 _aCalculus of Variations and Optimization.
_967270
650 2 4 _aApplications of Mathematics.
_965529
700 1 _aPapageorgiou, Nikolaos S.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982895
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031641886
776 0 8 _iPrinted edition:
_z9783031641909
776 0 8 _iPrinted edition:
_z9783031641916
830 0 _aBirkhäuser Advanced Texts Basler Lehrbücher,
_x2296-4894
_980556
856 4 0 _uhttps://doi.org/10.1007/978-3-031-64189-3
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