國立高雄大學圖資館 |

Language: English

Back

Semilinear evolution equations and t...

Diagana, Toka.

Semilinear evolution equations and their applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Semilinear evolution equations and their applicationsby Toka Diagana.
Author:	Diagana, Toka.
Published:	Cham :Springer International Publishing :2018.
Description:	xx, 189 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Evolution equations.
Online resource:	https://doi.org/10.1007/978-3-030-00449-1
ISBN:	9783030004491$q(electronic bk.)

Semilinear evolution equations and their applications
Diagana, Toka.

Semilinear evolution equations and their applications[electronic resource] /by Toka Diagana. - Cham :Springer International Publishing :2018. - xx, 189 p. :ill., digital ;24 cm.

1. Banach and Hilbert Spaces -- 2. Operator Theory -- 3. Semigroup of Linear Operators -- 4. Almost Periodic Functions and Their Spectral Theory -- 5. Semilinear Difference Equations -- 6. Singular Difference Equations -- 7. Fractional Difference Equations -- 8. First-Order Semilinear Evolution Equations -- 9. Degenerate First-Order Semilinear Evolution Equations -- 10. Fractional Semilinear Evolution Equations -- 11. Second-Order Semilinear Evolution Equations -- 12. Degenerate Second-Order Evolution Equations -- 13. Applications.

This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods) Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.

ISBN: 9783030004491$q(electronic bk.)

Standard No.: 10.1007/978-3-030-00449-1doiSubjects--Topical Terms:

199049
Evolution equations.

LC Class. No.: QA377.3 / .D534 2018

Dewey Class. No.: 515.35

Semilinear evolution equations and their applications
LDR:02697nmm a2200325 a 4500 001 545812
003 DE-He213
005 20190326104416.0
006 m d
007 cr nn 008maaau
008 190530s2018 gw s 0 eng d
020 $a 9783030004491$q(electronic bk.)
020 $a 9783030004484$q(paper)
024 7 $a 10.1007/978-3-030-00449-1 $2 doi
035 $a 978-3-030-00449-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377.3 $b .D534 2018
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.35 $2 23
090 $a QA377.3 $b .D536 2018
100 1 $a Diagana, Toka. $3 512172
245 1 0 $a Semilinear evolution equations and their applications $h [electronic resource] / $c by Toka Diagana.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xx, 189 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1. Banach and Hilbert Spaces -- 2. Operator Theory -- 3. Semigroup of Linear Operators -- 4. Almost Periodic Functions and Their Spectral Theory -- 5. Semilinear Difference Equations -- 6. Singular Difference Equations -- 7. Fractional Difference Equations -- 8. First-Order Semilinear Evolution Equations -- 9. Degenerate First-Order Semilinear Evolution Equations -- 10. Fractional Semilinear Evolution Equations -- 11. Second-Order Semilinear Evolution Equations -- 12. Degenerate Second-Order Evolution Equations -- 13. Applications.
520 $a This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods) Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.
650 0 $a Evolution equations. $3 199049
650 1 4 $a Functional Analysis. $3 274845
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Difference and Functional Equations. $3 274826
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-030-00449-1
950 $a Mathematics and Statistics (Springer-11649)