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Difference Equations and Discrete Dynamical Systems with Applications

24th ICDEA, Dresden, Germany, May 21–25, 2018

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Martin Bohner

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

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  2. Stefan Siegmund

    1. Institute for Analysis, CfD, Dresden University of Technology, Dresden, Germany

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  3. Roman Šimon Hilscher

    1. Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Brno, Czech Republic

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  4. Petr Stehlík

    1. Department of Mathematics, University of West Bohemia, Pilsen, Czech Republic

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  • Presents the proceedings of the 24th International Conference on Difference Equations and Applications (ICDEA), held in Dresden, Germany, May 2018, under the auspices of the International Society of Difference Equations (ISDE)
  • Covers difference equations and discrete dynamical systems and their applications
  • Appeals to researchers and scientists working in theory and applications of difference equations and discrete dynamical systems

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 312)

Included in the following conference series:

Conference proceedings info: ICDEA 2018.

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Table of contents (16 papers)

  1. Front Matter

    Pages i-x
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  2. Papers by Plenary Speakers

    1. Front Matter

      Pages 1-1
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    2. Linearized Oscillation Theory for a Nonlinear Nonautonomous Difference Equation

      • Elena Braverman, Başak Karpuz
      Pages 3-19

    3. Generalized Mandelbrot and Julia Sets in a Family of Planar Angle-Doubling Maps

      • Stefanie Hittmeyer, Bernd Krauskopf, Hinke M. Osinga
      Pages 21-54

    4. Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations

      • Hermen Jan Hupkes, Leonardo Morelli, Willem M. Schouten-Straatman, Erik S. Van Vleck
      Pages 55-112

  3. Contributed Papers

    1. Front Matter

      Pages 113-113
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    2. A Hilbert Space Approach to Fractional Difference Equations

      • Pham The Anh, Artur Babiarz, Adam Czornik, Konrad Kitzing, Michał Niezabitowski, Stefan Siegmund et al.
      Pages 115-131

    3. Assignability of Lyapunov Spectrum for Discrete Linear Time-Varying Systems

      • Artur Babiarz, Irina Banshchikova, Adam Czornik, Evgeniĭ Makarov, Michał Niezabitowski, Svetlana Popova
      Pages 133-147

    4. Strongly Exponentially Separated Linear Difference Equations

      • Flaviano Battelli, Kenneth J. Palmer
      Pages 149-186

    5. An Integrable SIS Model on Time Scales

      • Martin Bohner, Sabrina Streipert
      Pages 187-200

    6. Equilibrium Stability and the Geometry of Bifurcation Graphs for a Class of Nonlinear Leslie Models

      • J. M. Cushing
      Pages 201-211

    7. Non-monotone Behavior of the Heavy Ball Method

      • Marina Danilova, Anastasiia Kulakova, Boris Polyak
      Pages 213-230

    8. Global Asymptotic Stability in a Non-autonomous Difference Equation

      • Anatoli F. Ivanov
      Pages 231-250

    9. Sharp Conditions for Oscillation and Nonoscillation of Neutral Difference Equations

      • Başak Karpuz
      Pages 251-265

    10. On the Boundedness Character of a Rational System of Difference Equations with Non-constant Coefficients

      • Yevgeniy Kostrov, Zachary Kudlak, Patrick Vernon
      Pages 267-295

    11. Stability Investigation of Biosensor Model Based on Finite Lattice Difference Equations

      • Vasyl Martsenyuk, Aleksandra Klos-Witkowska, Andriy Sverstiuk
      Pages 297-321

    12. Discrete Reaction-Dispersion Equation

      • Zdeněk Pospíšil
      Pages 323-333

    13. A Note on Transformations of Independent Variable in Second Order Dynamic Equations

      • Pavel Řehák
      Pages 335-353

    14. Stability and Instability Regions for a Three Term Difference Equation

      • Petr Tomášek
      Pages 355-364
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  1. Difference Equations and Discrete Dynamical Systems with Applications

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About this book

This book presents the proceedings of the 24th International Conference on Difference Equations and Applications, which was held at the Technical University in Dresden, Germany, in May 2018, under the auspices of the International Society of Difference Equations (ISDE). The conference brought together leading researchers working in the respective fields to discuss the latest developments, and to promote international cooperation on the theory and applications of difference equations.
 
This book appeals to researchers and scientists working in the fields of difference equations and discrete dynamical systems and their applications.


Editors and Affiliations

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

    Martin Bohner

  • Institute for Analysis, CfD, Dresden University of Technology, Dresden, Germany

    Stefan Siegmund

  • Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Brno, Czech Republic

    Roman Šimon Hilscher

  • Department of Mathematics, University of West Bohemia, Pilsen, Czech Republic

    Petr Stehlík

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