Skip to main content
Difference Equations and Discrete Dynamical Systems: Proceedings of the 9th International Conference, University of Southern California, Los Angeles, California, USA, 2-7 August 2004
Faculty Authored Books
  • Linda J S Allen
  • Bernd Aulbach
  • Saber Elaydi, Trinity University
  • Robert Sacker

Difference Equations or Discrete Dynamical Systems is a diverse field which impacts almost every branch of pure and applied mathematics. Not surprisingly, the techniques that are developed vary just as broadly. No more so is this variety reflected than at the prestigious annual International Conference on Difference Equations and Applications. Organized under the auspices of the International Society of Difference Equations, the Conferences have an international attendance and a wide coverage of topics.

The contributions from the conference collected in this volume invite the mathematical community to see a variety of problems and applications with one ingredient in common, the Discrete Dynamical System. Readers may also keep abreast of the many novel techniques and developments in the field.

The special emphasis of the meeting was on mathematical biology and accordingly about half of the articles are in the related areas of mathematical ecology and mathematical medicine.

Publication Date
World Scientific
  • biology,
  • mathematics,
  • mathematical models,
  • difference equations,
  • differentiable dynamical systems,
  • congresses,
  • conference papers and proceedings
Table of Contents

A Discrete-Time Beverton-Holt Competition Model / Azmy S. Ackleh, Youssef M. Dib, Sophia R.-J. Jang -- A Dynamic Analysis of the Bush Fiscal Policy / Richard H. Day, Chengyu Yang -- A Hybrid Approximation to Certain Delay Differential Equation with a Constant Delay / George Seifert -- Compulsory Asymptotic Behavior of Solutions of Two-Dimensional Systems of Difference Equations / Josef Diblik, Irena Ruzickova -- Discrete Models of Differential Equations: The Roles of Dynamic Consistency and Positivity / Ronald E. Mickens -- Enveloping Implies Global Stability / Paul Cull -- Global Asymptotic Stability in the Jia Li Model for Genetically Altered Mosquitoes / Robert J. Sacker, Hubertus F. von Bremen -- Global Behavior of Solutions of a Nonlinear Second-Order Nonautonomous Difference Equation / Vlajko L. Kocic -- How Can Three Species Coexist in a Periodic Chemostat? Mathematical and Numerical Study / Shinji Nakaoka, Yasuhiro Takeuchi -- Information-Theoretic Measures of Discrete Orthogonal Polynomials / Jesus Sanchez Dehesa, R. Alvarez-Nodarse, Pablo Sanchez-Moreno, R.J. Yanez -- Local Approximation of Invariant Fiber Bundles: An Algorithmic Approach / Christian Potzsche, Martin Rasmussen -- Necessary and Sufficient Conditions for Oscillation of Coupled Nonlinear Discrete Systems / Serena Matucci, Pavel Rehak -- Non-Standard Finite Difference Methods for Dissipative Singular Perturbation Problems / Jean M.-S. Lubuma, Kailash C. Patidar -- On a Class of Generalized Autoregressive Processes / Kamal C. Chanda -- On [characters not reproducible] with Period-Two Coefficients / Carol H. Gibbons, Carol B. Overdeep -- Periodically Forced Nonlinear Difference Equations with Delay / Abdul-Aziz Yakubu -- Regularity of Difference Equations / Jarmo Hietarinta -- Robustness in Difference Equations / Jack K. Hale -- Solvability of the Discrete LQR-Problem under Minimal Assumptions / Roman Hilscher, Vera Zeidan -- Some Discrete Competition Models and the Principle of Competitive Exclusion / Jim M. Cushing, Sheree LeVarge -- Stability under Constantly Acting Perturbations for Difference Equations and Averaging / Vladimir Burd -- Symbolic Dynamics in the Study of Bursting Electrical Activity / Jorge Duarte, Jose Sousa Ramos, Luis Silva.

Citation Information
Allen, L. J. S., Aulbach, B., Elaydi, S., & Sacker, R. (Eds.). (2005). Difference equations and discrete dynamical systems: Proceedings of the 9th International Conference, University of Southern California, Los Angeles, California, USA, 2-7 August 2004. Hackensack, NJ: World Scientific.