Intro; Preface; Contents; Part I Papers by Plenary Speakers; Carrying Simplices for Competitive Maps; 1 Introduction; 2 Preliminaries and Notation; 3 Existence of a Carrying Simplex; 3.1 Mappings of Manifolds by Normally Monotone Maps; 3.2 Proof of Existence of an Invariant Hypersurface subset; 4 Some Relationships Between Normally Monotone and Competitive Maps; 4.1 Some Inequalities for the Spectral Radius; 5 More Examples from Ecology; 5.1 The Leslie-Gower Model; 5.2 The Ricker Model; 6 Discussion; References; Comparison of Attractors of Asymptotically Equivalent Difference Equations

Part I
Papers by Plenary Speakers: Stephen Baigent, Carrying Simplices for Competitive Maps
Hongyong Cui and Peter E. Kloeden, Comparison of Attractors of Asymptotically Equivalent Difference Equations
Saber Elaydi, Global Dynamics of Discrete Dynamical Systems and Difference Equations
Laura Gardini and Iryna Sushko, Bifurcations in Smooth and Piecewise Smooth Noninvertible Maps
Armengol Gasull, Difference Equations Everywhere: Some Motivating Examples
Part II
Contributed Papers: Ricardo Baccas, Cónall Kelly and Alexandra Rodkina, On Cubic Difference Equations with Variable Coefficients and Fading Stochastic Perturbations
Larisa Elena Biri, Traian Ceauu and Claudia Luminia Mihi, On Uniform Exponential Splitting of Variational Nonautonomous Difference Equations in Banach Spaces
George Bitsoris, Sorin Olaru and Marina Vassilaki, The Linear Constrained Control Problem for Discrete-Time Systems: Regulation on the Boundaries
Beniamin Bogosel, Discrete Version of an Optimal Partitioning Problem
Violeta Crai and Mirela Aldescu, On (h, k)
Dichotomy of Linear Discrete-Time Systems in Banach Spaces
Yoshihiro Hamaya, Existence and Stability Properties of Almost Periodic Solutions in Discrete Almost Periodic Systems
Konrad Kitzing, Rainer Picard, Stefan Siegmund, Sascha Trostorff and Marcus Waurick, A Hilbert Space Approach to Difference Equations
Vlajko L. Kocic, Global Behavior of Some Nonautonomous Delay Difference Equations
Maria Mălin, Ionel Rovenţa and Mihai Tudor, The Convergence of a Sequence of Iterated Polygons: A Discrete Combinatorial Analysis
Mihail Megan, Claudia Luminia Mihi and Raluca Lolea, On Splitting with Different Growth Rates for Linear Discrete-Time Systems in Banach Spaces
Youssef N. Raffoul, Lyapunov Functionals and Stability in Finite Delays Difference Equations.