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Recent Advances in Delay Differential and Difference Equations

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Ferenc Hartung

    1. Department of Mathematics, University of Pannonia, Veszprém, Hungary

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  2. Mihály Pituk

    1. Department of Mathematics, University of Pannonia, Veszprém, Hungary

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    You can also search for this editor in PubMed   Google Scholar

  • Presents new research findings in the area of difference and differential equations
  • Addresses applications as well as theoretical perspectives
  • Of interest to a broad readership of researchers in applied mathematics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 94)

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Table of contents (12 papers)

  1. Front Matter

    Pages i-xiii
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  2. On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity

    • John A. D. Appleby, Denis D. Patterson
    Pages 1-85

  3. Comparison Theorems for Second-Order Functional Differential Equations

    • Zuzana Došlá, Mauro Marini
    Pages 87-103

  4. Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using Transformations

    • Katalin M. Hangos, Gábor Szederkényi
    Pages 105-119

  5. Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type

    • Robert Jankowski, Ewa Schmeidel
    Pages 121-130

  6. Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems

    • Russell Johnson, Sylvia Novo, Carmen Núñez, Rafael Obaya
    Pages 131-159

  7. Stability Criteria for Delay Differential Equations

    • Beáta Krasznai
    Pages 161-171

  8. Analyticity of Solutions of Differential Equations with a Threshold Delay

    • Tibor Krisztin
    Pages 173-180

  9. Application of Advanced Integrodifferential Equations in Insurance Mathematics and Process Engineering

    • Éva Orbán-Mihálykó, Csaba Mihálykó
    Pages 181-195

  10. Stability and Control of Systems with Propagation

    • Vladimir Răsvan
    Pages 197-218

  11. Discrete Itô Formula for Delay Stochastic Difference Equations with Multiple Noises

    • Alexandra Rodkina
    Pages 219-232

  12. On Semilinear Hyperbolic Functional Equations with State-Dependent Delays

    • László Simon
    Pages 233-250

  13. A Fast Parallel Algorithm for Delay Partial Differential Equations Modeling the Cell Cycle in Cell Lines Derived from Human Tumors

    • Barbara Zubik-Kowal
    Pages 251-260

  14. Back Matter

    Pages 261-263
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Keywords

About this book

Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering and control theory. In this volume, the participants of the International Conference on Delay Differential and Difference Equations and Applications, Balatonfüred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic and oscillatory properties of the solutions; stability theory; numerical approximations; and applications to real world phenomena using deterministic and stochastic discrete and continuous dynamical systems.

Editors and Affiliations

  • Department of Mathematics, University of Pannonia, Veszprém, Hungary

    Ferenc Hartung, Mihály Pituk

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