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Functional Dynamic Equations on Time Scales

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Functional Dynamic Equations on Time Scales/ by Svetlin G. Georgiev.
作者:	Georgiev, Svetlin G.
面頁冊數:	X, 885 p. 14 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Functional analysis. -
電子資源:	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
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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: 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.
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