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Progress on Difference Equations and Discrete Dynamical Systems

25th ICDEA, London, UK, June 24–28, 2019

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Steve Baigent

    1. Department of Mathematics, University College London, London, UK

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  2. Martin Bohner

    1. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Saber Elaydi

    1. Department of Mathematics, Trinity University, San Antonio, USA

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  • Contains the proceedings of the 25th International Conference on Difference Equations and Applications (ICDEA) under the auspices of the International Society of Difference Equations (ISDE)
  • Comprises the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences
  • Addresses researchers and scientists working in the theory and applications of difference equations and discrete dynamical systems

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 341)

Included in the following conference series:

Conference proceedings info: ICDEA 2019.

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Table of contents (25 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Papers by Plenary Speakers

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Caputo Nabla Fractional Boundary Value Problems

      • ALLAN PETERSON, Wei Hu
      Pages 3-35

    3. A Note on Ergodicity for Nonautonomous Linear Difference Equations

      • Mihály Pituk
      Pages 37-44

    4. Poincaré Return Maps in Neural Dynamics: Three Examples

      • Marina L. Kolomiets, ANDREY L. SHILNIKOV
      Pages 45-57

    5. Persistent Discrete-Time Dynamics on Measures

      • Horst R. Thieme
      Pages 59-100

    6. Discrete Splines and Its Applications

      • Patricia J. Y. Wong
      Pages 101-141

  3. Contributed Papers

    1. Front Matter

      Pages 143-143
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    2. Persistence of a Discrete-Time Predator-Prey Model with Stage-Structure in the Predator

      • AZMY S. ACKLEH, Md. Istiaq Hossain, Amy Veprauskas, Aijun Zhang
      Pages 145-163

    3. Techniques on Solving Systems of Nonlinear Difference Equations

      • JERICO B. BACANI, Julius Fergy T. Rabago
      Pages 165-200

    4. A Note on q-partial Differential Equations for Generalized q-2D Hermite Polynomials

      • JIAN CAO, Tianxin Cai, Li-Ping Cai
      Pages 201-211

    5. Stability of a Spring-Mass System with Generalized Piecewise Constant Argument

      • DUYGU ARUĞASLAN ÇINÇIN, Nur Cengiz
      Pages 213-229

    6. A Darwinian Ricker Equation

      • Jim M. Cushing
      Pages 231-243

    7. Difference Equations Related to Number Theory

      • BERNHARD HEIM, Markus Neuhauser
      Pages 245-255

    8. A Note on Non-hyperbolic Fixed Points of One-Dimensional Maps

      • Sinan Kapçak
      Pages 257-267

    9. Impulse Effect on a Population Model with Piecewise Constant Argument

      • Fatma Karakoç
      Pages 269-278

    10. On a Second-Order Rational Difference Equation with Quadratic Terms, Part II

      • YEVGENIY KOSTROV, Zachary Kudlak
      Pages 279-296

    11. Population Motivated Discrete-Time Disease Models

      • YE LI, Jiawei Xu
      Pages 297-309

    12. Uniqueness Criterion and Cramer’s Rule for Implicit Higher Order Linear Difference Equations Over \(\mathbf {Z}\)

      • V. V. MARTSENIUK, Sergey L. Gefter, A. L. Piven’
      Pages 311-325

    13. On the Neumann Boundary Optimal Control of a Frictional Quasistatic Contact Problem with Dry Friction

      • NICOLAE POP, Luige Vladareanu, Victor Vladareanu
      Pages 327-336
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  1. Progress on Difference Equations and Discrete Dynamical Systems

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About this book

This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences. Some chapters have a tutorial style and cover the history and more recent developments for a particular topic, such as chaos, bifurcation theory, monotone dynamics, and global stability. Other chapters cover the latest personal research contributions of the author(s) in their particular area of expertise and range from the more technical articles on abstract systems to those that discuss the application of difference equations to real-world problems. The book is of interest to both Ph.D. students and researchers alike who wish to keep abreast of the latest developments in difference equations and discrete dynamical systems.


Editors and Affiliations

  • Department of Mathematics, University College London, London, UK

    Steve Baigent

  • Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, USA

    Martin Bohner

  • Department of Mathematics, Trinity University, San Antonio, USA

    Saber Elaydi

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