東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回上頁

切換: 標籤 | MARC模式 | ISBD

Combined measure and shift invarianc...

Wang, Chao.

FindBook

Google Book

Amazon

博客來

Combined measure and shift invariance theory of time scales and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Combined measure and shift invariance theory of time scales and applications/ by Chao Wang, Ravi P. Agarwal.
作者:	Wang, Chao.
其他作者:	Agarwal, Ravi P.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xvi, 434 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Measure theory. -
電子資源:	https://doi.org/10.1007/978-3-031-11619-3
ISBN:	9783031116193

Combined measure and shift invariance theory of time scales and applications
Wang, Chao.

Combined measure and shift invariance theory of time scales and applications[electronic resource] /by Chao Wang, Ravi P. Agarwal. - Cham :Springer International Publishing :2022. - xvi, 434 p. :ill., digital ;24 cm. - Developments in mathematics,v. 772197-795X ;. - Developments in mathematics ;v. 77..

This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory-a unified view of continuous and discrete analysis-has been widely used to study various classes of dynamic equations and models in real-world applications. Measure theory based on time scales, in its turn, is of great power in analyzing functions on time scales or hybrid domains. As a new and exciting type of mathematics-and more comprehensive and versatile than the traditional theories of differential and difference equations-, the time scale theory can precisely depict the continuous-discrete hybrid processes and is an optimal way forward for accurate mathematical modeling in applied sciences such as physics, chemical technology, population dynamics, biotechnology, and economics and social sciences. Graduate students and researchers specializing in general dynamic equations on time scales can benefit from this work, fostering interest and further research in the field. It can also serve as reference material for undergraduates interested in dynamic equations on time scales. Prerequisites include familiarity with functional analysis, measure theory, and ordinary differential equations.

ISBN: 9783031116193

Standard No.: 10.1007/978-3-031-11619-3doiSubjects--Topical Terms:

516951
Measure theory.

LC Class. No.: QA312 / .W35 2022

Dewey Class. No.: 515.42

Combined measure and shift invariance theory of time scales and applications
LDR:02691nmm a2200325 a 4500 001 2304269
003 DE-He213
005 20220924065725.0
006 m d
007 cr nn 008maaau
008 230409s2022 sz s 0 eng d
020 $a 9783031116193 $q (electronic bk.)
020 $a 9783031116186 $q (paper)
024 7 $a 10.1007/978-3-031-11619-3 $2 doi
035 $a 978-3-031-11619-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA312 $b .W35 2022
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.42 $2 23
090 $a QA312 $b .W246 2022
100 1 $a Wang, Chao. $3 3176114
245 1 0 $a Combined measure and shift invariance theory of time scales and applications $h [electronic resource] / $c by Chao Wang, Ravi P. Agarwal.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xvi, 434 p. : $b ill., digital ; $c 24 cm.
490 1 $a Developments in mathematics, $x 2197-795X ; $v v. 77
520 $a This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory-a unified view of continuous and discrete analysis-has been widely used to study various classes of dynamic equations and models in real-world applications. Measure theory based on time scales, in its turn, is of great power in analyzing functions on time scales or hybrid domains. As a new and exciting type of mathematics-and more comprehensive and versatile than the traditional theories of differential and difference equations-, the time scale theory can precisely depict the continuous-discrete hybrid processes and is an optimal way forward for accurate mathematical modeling in applied sciences such as physics, chemical technology, population dynamics, biotechnology, and economics and social sciences. Graduate students and researchers specializing in general dynamic equations on time scales can benefit from this work, fostering interest and further research in the field. It can also serve as reference material for undergraduates interested in dynamic equations on time scales. Prerequisites include familiarity with functional analysis, measure theory, and ordinary differential equations.
650 0 $a Measure theory. $3 516951
650 0 $a Functional analysis. $3 531838
650 0 $a Differential equations. $3 517952
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Differential Equations. $3 907890
650 2 4 $a Measure and Integration. $3 891263
650 2 4 $a Real Functions. $3 891265
700 1 $a Agarwal, Ravi P. $3 672910
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Developments in mathematics ; $v v. 77. $3 3606364
856 4 0 $u https://doi.org/10.1007/978-3-031-11619-3
950 $a Mathematics and Statistics (SpringerNature-11649)