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.
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 Cramers 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?.
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