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



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ISBN 9781032002910
September 20, 2021 Forthcoming by Chapman and Hall/CRC
694 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. This 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. It is published by the same publisher.

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. Boundary Value Problems for Nonlinear First Order Dynamic Equations
  2. Boundary Value Problems for First Order Impulsive Dynamic Equations
  3. The Green Function for Linear Second Order Dynamic Equations
  4. Linear Second Order Eigenvalue Problems
  5. Boundary Value Problems for Nonlinear Second Order Dynamic
  6. Equations

  7. Nonlinear Second Order Eigenvalue Problems
  8. Boundary Value Problems for Second Order Impulsive Dynamic

Equations

Appendices

References

Index

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Author(s)

Biography

Svetlin G. Georgiev 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.

Khaled Zennir received his PhD in Mathematics in from Sidi Bel Abbès University, Algeria. He obtained his highest diploma in Algeria (Habilitation, Mathematics) from Constantine university, Algeria. 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.