國立虎尾科技大學 |

Functional Dynamic Equations on Time Scales

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Functional Dynamic Equations on Time Scales/ by Svetlin G. Georgiev.
Author:	Georgiev, Svetlin G.
Description:	X, 885 p. 14 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-15420-2
ISBN:	9783030154202

Functional Dynamic Equations on Time Scales
Georgiev, Svetlin G.

Functional Dynamic Equations on Time Scales[electronic resource] /by Svetlin G. Georgiev. - 1st ed. 2019. - X, 885 p. 14 illus. in color.online resource.

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: Fréchet Derivatives and Gâteaux -- Appendix: Pötzsche’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

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

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Functional Dynamic Equations on Time Scales
LDR:03248nam a22003975i 4500 001 1014925
003 DE-He213
005 20200701153250.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030154202 $9 978-3-030-15420-2
024 7 $a 10.1007/978-3-030-15420-2 $2 doi
035 $a 978-3-030-15420-2
050 4 $a QA319-329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.7 $2 23
100 1 $a Georgiev, Svetlin G. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1067404
245 1 0 $a Functional Dynamic Equations on Time Scales $h [electronic resource] / $c by Svetlin G. Georgiev.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a X, 885 p. 14 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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: Fréchet Derivatives and Gâteaux -- Appendix: Pötzsche’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 Functional analysis. $3 527706
650 1 4 $a Functional Analysis. $3 672166
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030154196
776 0 8 $i Printed edition: $z 9783030154219
776 0 8 $i Printed edition: $z 9783030154226
856 4 0 $u https://doi.org/10.1007/978-3-030-15420-2
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)