Functional Dynamic Equations on Time Scales

Svetlin G. Georgiev

Svetlin G. Georgiev
Functional Dynamic Equations on Time Scales [PDF ebook]

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Copertina de Svetlin G. Georgiev: Functional Dynamic Equations on Time Scales (PDF)

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.

€171.19

Cuprins

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

Despre autor

Svetlin Georgiev is in the Department of Differential Equations of the Faculty of Mathematics and Informatics at Sofia University, Bulgaria.

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Limba Engleză ● Format PDF ● Pagini 885 ● ISBN 9783030154202 ● Mărime fișier 7.2 MB ● Vârstă 02-99 ani ● Editura Springer International Publishing ● Oraș Cham ● Țară CH ● Publicat 2019 ● Descărcabil 24 luni ● Valută EUR ● ID 6990534 ● Protecție împotriva copiilor DRM social

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