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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.
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

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

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

528273
Differentiable dynamical systems.

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

Dewey Class. No.: 514.74

Functional dynamic equations on time scales
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245 1 0 $a Functional dynamic equations on time scales $h [electronic resource] / $c by Svetlin G. Georgiev.
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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.
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856 4 0 $u https://doi.org/10.1007/978-3-030-15420-2
950 $a Mathematics and Statistics (Springer-11649)