Boundary Value Problems on Time Scales, Volume II  book cover
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Boundary Value Problems on Time Scales, Volume II



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ISBN 9781032008059
September 21, 2021 Forthcoming by Chapman and Hall/CRC
450 Pages

 
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Book Description

This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines.

The book contains two volumes. Volume I presents boundary value problems for first and second order dynamic equations on time scales and is published by the same publisher. Volume II investigates boundary value problems for three, four and higher order dynamic equations on time scales.

Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time scale calculus can be applied to any fields in which dynamic processes are described by discrete or continuous time models. T

The calculus of time scales has various applications involving non continuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics and traffic problems. Boundary value problems on time scales has been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution.

The text material of this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques.

Table of Contents

Preface

1. Third Order Boundary Value Problems for Dynamic Equations

2. Boundary Value Problems for Third Order Impulsive Dynamic Equations

3. Fourth Order Boundary Value Problems

4. Boundary Value Problems for Fourth Order Impulsive Dynamic Equations

5. Higher Order Boundary Value Problems for Dynamic Equations

6. Higher Order Boundary Value Problems for Impulsive Dynamic

Equations

References

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Author(s)

Biography

Svetlin G. Georgiev (born 05 April 1974, Rouse, Bulgaria) is a mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, dynamic calculus on time scales. 7. Khaled zennir was born in Skikda, Algeria 1982. He received his PhD in Mathematics in 2013 from Sidi Bel Abbès University, Algeria (Assist. professor). He obtained his highest diploma in Algeria (Habilitation, Mathematics) from Constantine university, Algeria in May 2015 (Assoc. professor). He is now assistant Professor at Qassim university, KSA. His research interests lie in Nonlinear Hyperbolic Partial Differential Equations: Global Existence, Blow-Up, and Long Time Behavior.