Functional Dynamic Equations on Time Scales

✍ Scribed by Svetlin G. Georgiev

Publisher: Springer International Publishing
Year: 2019
Tongue: English
Leaves: 886
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-x
Calculus on Time Scales (Svetlin G. Georgiev)....Pages 1-36
Dynamic Systems (Svetlin G. Georgiev)....Pages 37-98
Functional Dynamic Equations. Basic Concepts, Existence, and Uniqueness Theorems (Svetlin G. Georgiev)....Pages 99-139
Linear Functional Dynamic Equations (Svetlin G. Georgiev)....Pages 141-159
Stability for First-Order Functional Dynamic Equations (Svetlin G. Georgiev)....Pages 161-254
Oscillations of First-Order Functional Dynamic Equations (Svetlin G. Georgiev)....Pages 255-345
Oscillations of Second-Order Linear Functional Dynamic Equations with a Single Delay (Svetlin G. Georgiev)....Pages 347-374
Nonoscillations of Second-Order Functional Dynamic Equations with Several Delays (Svetlin G. Georgiev)....Pages 375-406
Oscillations of Second-Order Nonlinear Functional Dynamic Equations (Svetlin G. Georgiev)....Pages 407-468
Oscillations of Third-Order Functional Dynamic Equations (Svetlin G. Georgiev)....Pages 469-547
Oscillations of Fourth-Order Functional Dynamic Equations (Svetlin G. Georgiev)....Pages 549-664
Oscillations of Higher-Order Functional Dynamic Equations (Svetlin G. Georgiev)....Pages 665-748
Shift Operators (Svetlin G. Georgiev)....Pages 749-780
Impulsive Functional Dynamic Equations (Svetlin G. Georgiev)....Pages 781-817
Linear Impulsive Dynamic Systems (Svetlin G. Georgiev)....Pages 819-835
Back Matter ....Pages 837-885

✦ Subjects

Mathematics; Functional Analysis

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