Progress on Difference Equations and Discrete Dynamical Systems

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.

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Contenu
Part I: Papers by Plenary Speakers, Hu Peterson, Caputo Nabla Fractional Boundary Value Problems.- M. Pituk, A Note on Ergodicity for Nonautonomous Linear Difference Equations.- M. L. Kolomiets and A. L. Shilnikov, Poincare return maps in neural dynamics: three examples.- H. R. Thieme, Persistent discrete-time dynamics on measures.- P. J. Y. Wong, Discrete Splines and its Applications.- Part II: Contributed Papers, A. S. Ackleh, Md I. Hossain, Amy Veprauskas and A. Zhang, Persistence of a discrete-time predator-prey model with stage-structure in the predator.- J. B. Bacani and J. F. T. Rabago, Techniques on solving systems of nonlinear difference equations.- J. Cao, T. Cai and Li-Ping Cai, A note on q-partial differential equations for generalized q-2D Hermite polynomials.- D. Arugaslan Cincin and Nur Cengiz, The Stability of a Spring-Mass System with Generalized Piecewise Constant Argument.- J. M. Cushing, A Darwinian Ricker Equation.- B. Heim and M. Neuhauser, Difference equations related to number theory.- S. Kapcak, A Note on Non-hyperbolic Fixed Points of One-dimensional Maps.- F. Karakoc, Impulse Effect on a Population Model with Piecewise Constant Argument.- Y. Kostrov and Z. Kudlak, On a Second-Order Rational Difference Equation with Quadratic Terms, Part II.- Ye Li and Jiawei Xu, Population Motivated Discrete-time Disease Models.- V. V. Martseniuk, S. L. Gefter and A. L. Piven, Uniqueness criterion and Cramer's rule for implicit higher order linear difference equations over Z.- N. Pop, L. Vladareanu and V. Vladareanu, On the Neumann boundary optimal control of a frictional quasistatic contact problem with dry friction.- Y. Raffoul, Recent Results On Summations And Volterra Difference Equations Via Lyapunov Functionals.- G. Belitskii and V. Rayskin, New Method of Smooth Extension of Local Maps on Linear Topological Spaces. Applications and Examples.- G. Bastien and M. Rogalski, QRT-Families of Degree four Biquadratic Curves each of them has Genus Zero, Associated Dynamical Systems.- B. Ryals, Stability of Discrete-Time Coupled Oscillators via Quotient Dynamics.- T. Candan, M. Saburov and U. Ufuktepe, Reaching a consensus via Krause mean processes in multi-agent systems: Quadratic stochastic operators.- K. Saito, Global Attractivity For a Volterra Difference Equation.- L. Silva, Bifurcation scenarios under symbolic template iterations of flat top tent maps.- P. Zemánek, Linear operators associated with differential and difference systems: What is different?.