國立高雄大學圖資館 |

Language: English

Back

Functional dynamic equations on time...

Georgiev, Svetlin G.

Functional dynamic equations on time scales

Record Type:	Electronic resources : Monograph/item
Title/Author:	Functional dynamic equations on time scalesby Svetlin G. Georgiev.
Author:	Georgiev, Svetlin G.
Published:	Cham :Springer International Publishing :2019.
Description:	x, 885 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differentiable dynamical systems.
Online resource:	https://doi.org/10.1007/978-3-030-15420-2
ISBN:	9783030154202$q(electronic bk.)

Functional dynamic equations on time scales
Georgiev, Svetlin G.

Functional dynamic equations on time scales[electronic resource] /by Svetlin G. Georgiev. - Cham :Springer International Publishing :2019. - x, 885 p. :ill., digital ;24 cm.

Chapter 1- Calculus on Time Scales -- Chapter 2- Dynamic Systems -- Chapter 3- Functional Dynamic Equations. Basic Concepts, Existence and Uniqueness Theorems -- Chapter 4- Linear Functional Dynamic Equations -- Chapter 5- Stability for First Order Functional Dynamic Equations -- Chapter 6- Oscillations of First Order Functional Dynamic Equations -- Chapter 7- Oscillations of Second Order Linear Functional Dynamic Equations with a Single Delay -- Chapter 8- Nonoscillations of Second Order Functional Dynamic Equations with Several Delays -- Chapter 9- Oscillations of Second Order Nonlinear Functional Dynamic Equations -- Chapter 10- Oscillations of Third Order Functional Dynamic Equations -- Chapter 11- Oscillations of Fourth Order Functional Dynamic Equations -- Chapter 12- Oscillations of Higher Order Functional Dynamic Equations -- Chapter 13- Shift Operators -- Chapter 14- Impulsive Functional Dynamic Equations -- Chapter 15- Linear Impulsive Dynamic Systems -- Appendix: Frechet Derivatives and Gateaux -- Appendix: Potzsche's Chain Rule -- Appendix: The Knaster-Tarski Fixed Point Theorem -- Appendix: Some Elementary Inequalities -- Knesser's Theorem -- References -- Index.

This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations. It discusses functional dynamic equations in relation to mathematical physics applications and problems, providing useful tools for investigation for oscillations and nonoscillations of the solutions of functional dynamic equations on time scales. Practice problems are presented throughout the book for use as a graduate-level textbook and as a reference book for specialists of several disciplines, such as mathematics, physics, engineering, and biology.

ISBN: 9783030154202$q(electronic bk.)

Standard No.: 10.1007/978-3-030-15420-2doiSubjects--Topical Terms:

183764
Differentiable dynamical systems.

LC Class. No.: QA614.8 / .G467 2019

Dewey Class. No.: 514.74

Functional dynamic equations on time scales
LDR:02860nmm a2200325 a 4500 001 559045
003 DE-He213
005 20191031165053.0
006 m d
007 cr nn 008maaau
008 191219s2019 gw s 0 eng d
020 $a 9783030154202$q(electronic bk.)
020 $a 9783030154196$q(paper)
024 7 $a 10.1007/978-3-030-15420-2 $2 doi
035 $a 978-3-030-15420-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA614.8 $b .G467 2019
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 514.74 $2 23
090 $a QA614.8 $b .G352 2019
100 1 $a Georgiev, Svetlin G. $3 728094
245 1 0 $a Functional dynamic equations on time scales $h [electronic resource] / $c by Svetlin G. Georgiev.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a x, 885 p. : $b ill., digital ; $c 24 cm.
505 0 $a Chapter 1- Calculus on Time Scales -- Chapter 2- Dynamic Systems -- Chapter 3- Functional Dynamic Equations. Basic Concepts, Existence and Uniqueness Theorems -- Chapter 4- Linear Functional Dynamic Equations -- Chapter 5- Stability for First Order Functional Dynamic Equations -- Chapter 6- Oscillations of First Order Functional Dynamic Equations -- Chapter 7- Oscillations of Second Order Linear Functional Dynamic Equations with a Single Delay -- Chapter 8- Nonoscillations of Second Order Functional Dynamic Equations with Several Delays -- Chapter 9- Oscillations of Second Order Nonlinear Functional Dynamic Equations -- Chapter 10- Oscillations of Third Order Functional Dynamic Equations -- Chapter 11- Oscillations of Fourth Order Functional Dynamic Equations -- Chapter 12- Oscillations of Higher Order Functional Dynamic Equations -- Chapter 13- Shift Operators -- Chapter 14- Impulsive Functional Dynamic Equations -- Chapter 15- Linear Impulsive Dynamic Systems -- Appendix: Frechet Derivatives and Gateaux -- Appendix: Potzsche's Chain Rule -- Appendix: The Knaster-Tarski Fixed Point Theorem -- Appendix: Some Elementary Inequalities -- Knesser's Theorem -- References -- Index.
520 $a This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations. It discusses functional dynamic equations in relation to mathematical physics applications and problems, providing useful tools for investigation for oscillations and nonoscillations of the solutions of functional dynamic equations on time scales. Practice problems are presented throughout the book for use as a graduate-level textbook and as a reference book for specialists of several disciplines, such as mathematics, physics, engineering, and biology.
650 0 $a Differentiable dynamical systems. $3 183764
650 0 $a Difference equations. $3 185958
650 1 4 $a Functional Analysis. $3 274845
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-3-030-15420-2
950 $a Mathematics and Statistics (Springer-11649)