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Qualitative Theory of Volterra Difference Equations

  • Book
  • © 2018

Overview

Authors:
  1. Youssef N. Raffoul

    1. Department of Mathematics, University of Dayton, Dayton, USA

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  • Author is considered a leading researcher in the field of Volterra difference equations

  • Currently no other book of its kind on the market

  • Contains applications to real-world problems

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Stability and Boundedness

    • Youssef N. Raffoul
    Pages 1-54

  3. Functional Difference Equations

    • Youssef N. Raffoul
    Pages 55-92

  4. Fixed Point Theory in Stability and Boundedness

    • Youssef N. Raffoul
    Pages 93-162

  5. Periodic Solutions

    • Youssef N. Raffoul
    Pages 163-227

  6. Population Dynamics

    • Youssef N. Raffoul
    Pages 229-252

  7. Exponential and l p-Stability in Volterra Equations

    • Youssef N. Raffoul
    Pages 253-309

  8. Back Matter

    Pages 311-324
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Keywords

About this book

This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations.  The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout.

This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.


Reviews

“The book is well-written and the presentation is rigorous and very clear. This monograph is a great source for graduate students in mathematics and science and for all researchers interested in the qualitative theory of Volterra difference equations and functional difference equations.” (Rodica Luca, zbMATH 1402.39001, 2019)

Authors and Affiliations

  • Department of Mathematics, University of Dayton, Dayton, USA

    Youssef N. Raffoul

Bibliographic Information

  • Book Title: Qualitative Theory of Volterra Difference Equations

  • Authors: Youssef N. Raffoul

  • DOI: https://doi.org/10.1007/978-3-319-97190-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-97189-6Published: 22 September 2018

  • Softcover ISBN: 978-3-030-07318-3Published: 28 December 2018

  • eBook ISBN: 978-3-319-97190-2Published: 12 September 2018

  • Edition Number: 1

  • Number of Pages: XIV, 324

  • Number of Illustrations: 4 illustrations in colour

  • Topics: Difference and Functional Equations, Genetics and Population Dynamics

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