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024 7 $a10.1007/978-3-031-64189-3
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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aResearch Topics in Analysis, Volume II $eApplications /$fby Shouchuan Hu, Nikolaos S. Papageorgiou
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2024.
215   $a1 online resource (731 pages)
225 1 $aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894
311 08$aPrint version: Hu, Shouchuan Research Topics in Analysis, Volume II Cham : Birkhäuser Boston,c2024 9783031641886 
327   $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.
330   $aThis book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfields of this broad subject and introduces relevant frameworks for immediate deployment. The applications list begins with Degree Theory, a useful tool for studying nonlinear equations. Chapter 2 deals with Fixed Point Theory, and Chapter 3 introduces Critical Point Theory. Chapter 4 presents the main spectral properties of linear, nonlinear, anisotropic, and double-phase differential operators. Chapter 5 covers semilinear and nonlinear elliptic equations with different boundary conditions, while Chapter 6 addresses dynamic systems monitored by ordinary and partial differential equations. Chapter 7 delves into optimal control problems, and Chapter 8 discusses some economic models, providing a brief presentation of Game Theory and Nash equilibrium. By offering a clear and comprehensive overview of modern analysis tools and applications, this work can greatly benefit mature graduate students seeking research topics, as well as experienced researchers interested in this vast and rich field of mathematics.
410  0$aBirkhäuser Advanced Texts Basler Lehrbücher,$x2296-4894
606   $aFunctional analysis
606   $aTopology
606   $aMathematical optimization
606   $aCalculus of variations
606   $aMathematics
606   $aFunctional Analysis
606   $aTopology
606   $aCalculus of Variations and Optimization
606   $aApplications of Mathematics
615  0$aFunctional analysis.
615  0$aTopology.
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615  0$aMathematics.
615 14$aFunctional Analysis.
615 24$aTopology.
615 24$aCalculus of Variations and Optimization.
615 24$aApplications of Mathematics.
676   $a515.7
700   $aHu$b Shouchuan$0730634
701   $aPapageorgiou$b Nikolaos S$01062930
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910882898203321
996   $aResearch Topics in Analysis, Volume II$94209764
997   $aUNINA