This proceedings volume gathers selected and invited contributions presented at the 29th International Conference on Difference Equations and Applications (ICDEA), held in Paris, France, from June 24 to 28, 2024. Papers in this volume cover topics in the theory and applications of difference equations and discrete dynamical systems in fields as diverse as mathematical economics, mathematical biology, and others, offering a glimpse of the state of the art in these fields.
Organized by the International Society of Difference Equations (ISDE) since 1994, the ICDEA has become an invaluable opportunity for experts and students worldwide to share their findings and foster avenues of cooperation. Volumes from previous iterations of ICDEA are also available from Springer.
Table of Contents:
General Theory of Difference Equations, Peter E. Kloeden, Approximating Invariant Measures in Spatially Discretized Dynamical Systems.- V. S. Alekseev, T. Cuchta, and A. P. Lyapin Discrete Generating Series and Linear Difference Equations.- Habib Marzougui, Dynamics of Inducing Monotone Regular Curve Maps on Hyperspaces.- Laurian Suciu, Similarity to Quasi-m-Isometries and World Type Decompositions.- Discrete Dynamical Systems: Inese Bula and Jete Lucija Kristone, On Periodic Solutions of a System of Piecewise Linear Difference Equations.- Mirela Garic-Demirovic, Sabina Hrustic, M. R. S. Kulenovic, and Samra Moranjkic, Global Dynamics of Certain Mixed Monotone Difference Equations with Quadratic Terms.- Nouressadat Touafek, Hiba Zabat, and Imane Dekkar, Global Stability and Periodicity of Solutions of a Three-Dimensional System of Rational Difference Equations.- Anna Cima, Armengol Gasull, Victor Mañosa, and Francesc Mañosas, On Two Families of Iterative Methods Without Memory.- Discrete-Time Models Applied to Biology: Azmy S. Ackleh, Sankar Sikder, and Amy Veprauskas, A Discrete-Time Predator–Prey Model with Selection and Mutation in the Predator Population.- Téo Granger, Thomas M. Michelitsch, Bernard A. Collet, Michael Bestehorn, and Alejandro P. Riascos, From Random Walks to Epidemic Spreading: A Compartment Model with Mortality for Vector-Transmitted Diseases.- Elena Braverman and Justice Kao, Proportional Feedback Control of the Competitive Ricker System.- Barbara Silva Rodrigues, Paula Patricio, and Magda Rebelo, Fractional SIR Model with Distributed Contacts.- Discrete-Time Models Applied to Economics: Jochen Jungeilges and Tatyana Perevalova, Consequences of Multi-Stability in a Piecewise, Non-Smooth, Stochastic Asset-Price Process.- Anna Agliari, Fernando Bignami, and Nicolo Pecora, Occurrence of Chenciner Bifurcation in Two Simple Economic Models with Heterogeneous Expectations.- Mourad Azioune, Mohammed Salah Abdelouahab, and René Lozi, Dynamic Analysis and Chaos Control of a Cournot Triopoly Game Involving Firms with Bounded Rationality.- Discrete-Time Models Applied to Engineering, Social Science, Game Theory, and Pharmacodynamics: Zhanybai T. Zhusubaliyev, Viktor Avrutin, Ulanbek A. Sopuev, and Nursultan B. Beknazarov, Bistability-Affected Period-Adding and Discontinuous Invariant Curves in a Pulse-Frequency Modulated Power Converter.- Gian Italo Bischi and Francesca Grassetti, Discrete Dynamical Systems with Memory in Social Sciences.- Abdelrahim S. Mousa, An n-Dimensional Strategic Form Game with Binary Interactions.- John Ioannis Stavroulaki, Going in Circles: From Delay Equations on Manifolds to Impulsive Pharmacokinetic Models.
