Trichotomy of a system of two difference equations

In this paper we study the boundedness and the asymptotic behavior of the positive solutions of the system of difference equations

     

Global Behavior of the Solutions of a Max-Equation and of a System of Two Max-Equations

In this paper we study the existence of generalized invariants, the periodicity, the boundedness and persistence of the solutions of a Max-equation and of a system of two Max-equations.     

Semistability of two systems of difference equations using centre manifold theory

In this paper, we study the stability of the zero equilibria of the following systems of difference equations: and where a, b, c and d are positive constants and the initial conditions x₀ and y₀ are positive numbers. We study the stability of those systems in the special case when one of the eigenvalues has absolute value equal to 1 and the other eigenvalue has absolute value less than 1, using centre manifold theory. Copyright © 2016 John Wiley & Sons, Ltd.     

Persistence,Oscillatory Behavior,and Periodicity of the Solutions of a System of two Nonlinear Difference Equations

In this paper we investigate the persistence, the oscillatory behavior and the periodic nature of solutions of a system of two nonlinear difference equations.     

Some Results Concerning a Class of Differential Equations with Piecewise Constant Argument

Under some conditions the asymptotic behavior of the solutions of a class of differential equations with piecewise constant argument is studied.     

Permanence and oscillation of a system of two nonlinear difference equations

In this paper we study the permanence and the oscillatory behavior of the solutions of a system of two nonlinear difference equations.     

Boundedness and asymptotic behavior of the solutions of a fuzzy difference equation

In this paper we study the existence, the uniqueness, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation x_n+1=∑_i=0^kA_i/x_n−i^p_i, where k{1,2,…,}, A_i, i{0,1,…,k}, are positive fuzzy numbers, p_i, i{0,1,…,k}, are positive constants and x_i, i{−k,−k+1,…,0}, are positive fuzzy numbers.