東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Research topics in analysis.. Volume...

Hu, Shouchuan.

Linked to FindBook

Google Book

Amazon

博客來

Research topics in analysis.. Volume II,. Applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Research topics in analysis./ by Shouchuan Hu, Nikolaos S. Papageorgiou.
remainder title:	Applications
Author:	Hu, Shouchuan.
other author:	Papageorgiou, Nikolaos Socrates.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xii, 725 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis. -
Online resource:	https://doi.org/10.1007/978-3-031-64189-3
ISBN:	9783031641893

Research topics in analysis.. Volume II,. Applications
Hu, Shouchuan.

Research topics in analysis.Volume II,Applications[electronic resource] /Applicationsby Shouchuan Hu, Nikolaos S. Papageorgiou. - Cham :Springer Nature Switzerland :2024. - xii, 725 p. :ill., digital ;24 cm. - Birkhäuser advanced texts Basler Lehrbücher,2296-4894. - Birkhäuser advanced texts Basler Lehrbücher..

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.

ISBN: 9783031641893

Standard No.: 10.1007/978-3-031-64189-3doiSubjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

Research topics in analysis.. Volume II,. Applications
LDR:02594nmm a22003615a 4500 001 2388451
003 DE-He213
005 20240826124744.0
006 m d
007 cr nn 008maaau
008 250916s2024 sz s 0 eng d
020 $a 9783031641893 $q (electronic bk.)
020 $a 9783031641886 $q (paper)
024 7 $a 10.1007/978-3-031-64189-3 $2 doi
035 $a 978-3-031-64189-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA300
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515 $2 23
090 $a QA300 $b .H874 2024
100 1 $a Hu, Shouchuan. $3 726524
245 1 0 $a Research topics in analysis. $n Volume II, $p Applications $h [electronic resource] / $c by Shouchuan Hu, Nikolaos S. Papageorgiou.
246 3 0 $a Applications
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2024.
300 $a xii, 725 p. : $b ill., digital ; $c 24 cm.
347 $a text file $b PDF $2 rda
490 1 $a Birkhäuser advanced texts Basler Lehrbücher, $x 2296-4894
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.
650 0 $a Mathematical analysis. $3 516833
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Topology. $3 522026
650 2 4 $a Calculus of Variations and Optimization. $3 3538813
650 2 4 $a Applications of Mathematics. $3 890893
700 1 $a Papageorgiou, Nikolaos Socrates. $3 726523
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Birkhäuser advanced texts Basler Lehrbücher. $3 3723285
856 4 0 $u https://doi.org/10.1007/978-3-031-64189-3
950 $a Mathematics and Statistics (SpringerNature-11649)