Journal of Difference Equations and Applications 

About: Journal of Difference Equations and Applications is an academic journal published by Taylor & Francis. The journal publishes majorly in the area(s): Differential equation & Nonlinear system. It has an ISSN identifier of 1023-6198. Over the lifetime, 2310 publications have been published receiving 28207 citations.

On the Dynamics of x_{\bf{n} + \bf{1}} = {{ \mgreek{a} + \mgreek{g} x_{n-1} + \mgreek{d} x_{n-2}} \over {A + x_{n-2}}}

Abstract: We investigate the global stability, the periodic character and the boundedness nature of solutions of the equation in the title for all admissible nonnegative values of the parameters and the initial conditions. We show that the solutions exhibit a trichotomy character depending on how the parameter γ compares to the sum of the parameters δ and A.

Nonstandard Finite Difference Schemes for Differential Equations

Abstract: This paper gives an introduction to nonstandard finite difference methods useful for the construction of discrete models of differential equations when numerical solutions are required. While the general rules for such schemes are not precisely known at the present time, several important criterion have been found. We provide an explanation of their significance and apply them to several model ordinary and partial differential equations. The paper ends with a discussion of several outstanding problems in this area and other related issues.

ECO: a methodology for the enumeration of combinatorial objects

Abstract: In this Paper, we illustrate a method (called the ECO method) for enumerating some classes of combinatorial objects. The basic idea of this method is the following: by means of an operator that performs a "local expansion" on the objects, we give some recursive constructions of these classes. We use these constructions to deduce some new funtional equations verified by classes' generating functions. By solving the functional equations, we enumerate the combinatorial objects according to various parameters. We show some applications of the method referring to some classical combinatorial objects, such as: trees, paths, polyminoes and permutations

Two-point boundary value problems for finite fractional difference equations

Abstract: In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation. We invert the problem and construct and analyse the corresponding Green's function. We then provide an application and obtain sufficient conditions for the existence of positive solutions for a two-point boundary value problem for a nonlinear finite fractional difference equation.

Planar competitive and cooperative difference equations

Abstract: This paper focuses on the asymptotic behavior of planner order-preserving difference equations with particular attention to those arising from models of two-species competition.