國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Positive operator semigroupsfrom fin...

Batkai, Andras.

Positive operator semigroupsfrom finite to infinite dimensions /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Positive operator semigroupsby Andras Batkai, Marjeta Kramar Fijavz, Abdelaziz Rhandi.
其他題名:	from finite to infinite dimensions /
作者:	Batkai, Andras.
其他作者:	Kramar Fijavz, Marjeta.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xviii, 364 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Semigroups of operators.
電子資源:	http://dx.doi.org/10.1007/978-3-319-42813-0
ISBN:	9783319428130$q(electronic bk.)

Positive operator semigroupsfrom finite to infinite dimensions /
Batkai, Andras.

Positive operator semigroupsfrom finite to infinite dimensions /[electronic resource] :by Andras Batkai, Marjeta Kramar Fijavz, Abdelaziz Rhandi. - Cham :Springer International Publishing :2017. - xviii, 364 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2570255-0156 ;. - Operator theory: advances and applications ;v.219..

1 An Invitation to Positive Matrices -- 2 Functional Calculus -- 3 Powers of Matrices -- 4 Matrix Exponential Function -- 5 Positive Matrices -- 6 Applications of Positive Matrices -- 7 Positive Matrix Semigroups and Applications -- 8 Positive Linear Systems -- 9 Banach Lattices -- 10 Positive Operators -- 11 Operator Semigroups -- 12 Generation Properties -- 13 Spectral Theory for Positive Semigroups I -- 14 Spectral Theory for Positive Semigroups II -- 15 An application to linear transport equations -- Appendices -- Index.

This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.

ISBN: 9783319428130$q(electronic bk.)

Standard No.: 10.1007/978-3-319-42813-0doiSubjects--Topical Terms:

357430
Semigroups of operators.

LC Class. No.: QA329

Dewey Class. No.: 515.724

Positive operator semigroupsfrom finite to infinite dimensions /
LDR:03061nmm a2200325 a 4500 001 507535
003 DE-He213
005 20170828142321.0
006 m d
007 cr nn 008maaau
008 171030s2017 gw s 0 eng d
020 $a 9783319428130$q(electronic bk.)
020 $a 9783319428116$q(paper)
024 7 $a 10.1007/978-3-319-42813-0 $2 doi
035 $a 978-3-319-42813-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 515.724 $2 23
090 $a QA329 $b .B333 2017
100 1 $a Batkai, Andras. $3 763173
245 1 0 $a Positive operator semigroups $h [electronic resource] : $b from finite to infinite dimensions / $c by Andras Batkai, Marjeta Kramar Fijavz, Abdelaziz Rhandi.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a xviii, 364 p. : $b ill., digital ; $c 24 cm.
490 1 $a Operator theory: advances and applications, $x 0255-0156 ; $v v.257
505 0 $a 1 An Invitation to Positive Matrices -- 2 Functional Calculus -- 3 Powers of Matrices -- 4 Matrix Exponential Function -- 5 Positive Matrices -- 6 Applications of Positive Matrices -- 7 Positive Matrix Semigroups and Applications -- 8 Positive Linear Systems -- 9 Banach Lattices -- 10 Positive Operators -- 11 Operator Semigroups -- 12 Generation Properties -- 13 Spectral Theory for Positive Semigroups I -- 14 Spectral Theory for Positive Semigroups II -- 15 An application to linear transport equations -- Appendices -- Index.
520 $a This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.
650 0 $a Semigroups of operators. $3 357430
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
700 1 $a Kramar Fijavz, Marjeta. $3 774244
700 1 $a Rhandi, Abdelaziz. $3 774245
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Operator theory: advances and applications ; $v v.219. $3 558819
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-42813-0
950 $a Mathematics and Statistics (Springer-11649)