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Integral Equations on Time Scales

  • Book
  • © 2016

Overview

Authors:
  1. Svetlin G. Georgiev

    1. Department of Differential Equations, Sofia University, Sofia, Bulgaria

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  • First book on time scale calculus
  • Pedagogical organization helps the reader to learn quickly
  • Analytical and numerical methods are covered
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Studies in Dynamical Systems (ASDS, volume 5)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-ix
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  2. Elements of the Time Scale Calculus

    • Svetlin G. Georgiev
    Pages 1-75

  3. Introductory Concepts of Integral Equations on Time Scales

    • Svetlin G. Georgiev
    Pages 77-129

  4. Generalized Volterra Integral Equations

    • Svetlin G. Georgiev
    Pages 131-195

  5. Generalized Volterra Integro-Differential Equations

    • Svetlin G. Georgiev
    Pages 197-225

  6. Generalized Fredholm Integral Equations

    • Svetlin G. Georgiev
    Pages 227-299

  7. Hilbert-Schmidt Theory of Generalized Integral Equations with Symmetric Kernels

    • Svetlin G. Georgiev
    Pages 301-319

  8. The Laplace Transform Method

    • Svetlin G. Georgiev
    Pages 321-373

  9. The Series Solution Method

    • Svetlin G. Georgiev
    Pages 375-393

  10. Non-linear Generalized Integral Equations

    • Svetlin G. Georgiev
    Pages 395-397

  11. Back Matter

    Pages 399-402
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Keywords

About this book

This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.

Reviews

“This book presents clear and well-organized content based on the recent developments of integral equations on time scales. Almost all the chapters contain several numerical and illustrative examples and exercises which make the content readable and understandable. … the text can be used by both undergraduate and graduate level readers.” (Halis Can Koyuncuoglu, Mathematical Reviews, August, 2017)

Authors and Affiliations

  • Department of Differential Equations, Sofia University, Sofia, Bulgaria

    Svetlin G. Georgiev

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