Functional Dynamic Equations on Time Scales

• Main Author: Georgiev, Svetlin G. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Functional analysis.; Functional Analysis.

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...

Table of Contents:

• 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.