1st Edition

Boundary Value Problems on Time Scales, Volume II

By Svetlin G. Georgiev, Khaled Zennir Copyright 2022
    457 Pages
    by Chapman & Hall

    Boundary Value Problems on Time Scales, Volume II is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the

    most recent contributions in this area, it addresses 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 text contains two volumes, both published by Chapman & Hall/CRC Press.

    Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. 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 field in which dynamic processes are described by discrete or continuous time models.

    The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound

    healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating

    processes and the phenomena subject to short-time perturbations during their evolution.

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

    solution techniques.

    AUTHORS

    Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial

    differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales.

    Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in

    mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research

    interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.

    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

    Biography

    AUTHORS

    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, and dynamic calculus on time scales.

    Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long time behavior.