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

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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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Inhaltsverzeichnis

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

Über den 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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Sprache Englisch ● Format PDF ● Seiten 885 ● ISBN 9783030154202 ● Dateigröße 7.2 MB ● Verlag Springer International Publishing ● Ort Cham ● Land CH ● Erscheinungsjahr 2019 ● herunterladbar 24 Monate ● Währung EUR ● ID 6990534 ● Kopierschutz Soziales DRM

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