國立高雄大學圖資館 |

Language: English

Back

Advanced functional evolution equati...

Abbas, Said.

Advanced functional evolution equations and inclusions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Advanced functional evolution equations and inclusionsby Said Abbas, Mouffak Benchohra.
Author:	Abbas, Said.
other author:	Benchohra, Mouffak.
Published:	Cham :Springer International Publishing :2015.
Description:	xxi, 408 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Functional differential equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-17768-7
ISBN:	9783319177687 (electronic bk.)

Advanced functional evolution equations and inclusions
Abbas, Said.

Advanced functional evolution equations and inclusions[electronic resource] /by Said Abbas, Mouffak Benchohra. - Cham :Springer International Publishing :2015. - xxi, 408 p. :ill., digital ;24 cm. - Developments in mathematics,v.391389-2177 ;. - Developments in mathematics ;v.25..

1. Preliminary Background -- 2. Partial Functional Evolution Equations with Finite Delay -- 3. Partial Functional Evolution Equations with Infinite Delay -- 4. Perturbed Partial Functional Evolution Equations -- 5. Partial Functional Evolution Inclusions with Finite Delay -- 6. Partial Functional Evolution Inclusions with Infinite Delay -- 7. Densely Defined Functional Differential Inclusions with Finite Delay -- 8. Non-Densely Defined Functional Differential Inclusions with Finite Delay -- 9. Impulsive Semi-linear Functional Differential Equations -- 10. Impulsive Functional Differential Inclusions with Unbounded Delay -- 11. Functional Differential Inclusions with Multi-valued Jumps -- 12. Global Existence Results for Functional Differential Equations and Inclusions with Delay -- 13. Global Existence Results of Second Order Functional Differential Equations with Delay -- References -- Index.

This book presents up-to-date results on abstract evolution equations and differential inclusions in infinite dimensional spaces. It covers equations with time delay and with impulses, and complements the existing literature in functional differential equations and inclusions. The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution equations and inclusions, and other densely and non-densely defined functional differential equations and inclusions in separable Banach spaces or in Frechet spaces. The tools used include classical fixed points theorems and the measure-of non-compactness, and each chapter concludes with a section devoted to notes and bibliographical remarks. This monograph is particularly useful for researchers and graduate students studying pure and applied mathematics, engineering, biology and all other applied sciences.

ISBN: 9783319177687 (electronic bk.)

Standard No.: 10.1007/978-3-319-17768-7doiSubjects--Topical Terms:

455385
Functional differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.35

Advanced functional evolution equations and inclusions
LDR:02825nmm a2200325 a 4500 001 471560
003 DE-He213
005 20160122104250.0
006 m d
007 cr nn 008maaau
008 160223s2015 gw s 0 eng d
020 $a 9783319177687 (electronic bk.)
020 $a 9783319177670 (paper)
024 7 $a 10.1007/978-3-319-17768-7 $2 doi
035 $a 978-3-319-17768-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA372
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.35 $2 23
090 $a QA372 $b .A122 2015
100 1 $a Abbas, Said. $3 573114
245 1 0 $a Advanced functional evolution equations and inclusions $h [electronic resource] / $c by Said Abbas, Mouffak Benchohra.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xxi, 408 p. : $b ill., digital ; $c 24 cm.
490 1 $a Developments in mathematics, $x 1389-2177 ; $v v.39
505 0 $a 1. Preliminary Background -- 2. Partial Functional Evolution Equations with Finite Delay -- 3. Partial Functional Evolution Equations with Infinite Delay -- 4. Perturbed Partial Functional Evolution Equations -- 5. Partial Functional Evolution Inclusions with Finite Delay -- 6. Partial Functional Evolution Inclusions with Infinite Delay -- 7. Densely Defined Functional Differential Inclusions with Finite Delay -- 8. Non-Densely Defined Functional Differential Inclusions with Finite Delay -- 9. Impulsive Semi-linear Functional Differential Equations -- 10. Impulsive Functional Differential Inclusions with Unbounded Delay -- 11. Functional Differential Inclusions with Multi-valued Jumps -- 12. Global Existence Results for Functional Differential Equations and Inclusions with Delay -- 13. Global Existence Results of Second Order Functional Differential Equations with Delay -- References -- Index.
520 $a This book presents up-to-date results on abstract evolution equations and differential inclusions in infinite dimensional spaces. It covers equations with time delay and with impulses, and complements the existing literature in functional differential equations and inclusions. The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution equations and inclusions, and other densely and non-densely defined functional differential equations and inclusions in separable Banach spaces or in Frechet spaces. The tools used include classical fixed points theorems and the measure-of non-compactness, and each chapter concludes with a section devoted to notes and bibliographical remarks. This monograph is particularly useful for researchers and graduate students studying pure and applied mathematics, engineering, biology and all other applied sciences.
650 0 $a Functional differential equations. $3 455385
650 0 $a Differential inclusions. $3 349197
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Systems Theory, Control. $3 274654
700 1 $a Benchohra, Mouffak. $3 573115
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Developments in mathematics ; $v v.25. $3 558834
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-17768-7
950 $a Mathematics and Statistics (Springer-11649)