On the Global Attractivity of a Max-Type Difference Equation

On positive solutions of some classes of max-type systems of difference equations

Keywords: System of difference equations Global attractivity Eventually constant solutions Max-type difference equation a b s t r a c t Global attractivity results on positive solutions of some special cases of the next max-type system of difference equations

On the Dynamic of a Nonautonomous

Nonlinear difference equations of higher order are important in applications; such equations appear naturally as discrete analogues of differential and delay differential equations which model various diverse phenomena in biology, ecology, economics, physics and engineering. The study of dynamical properties of such equations is of great importance in many areas. The autonomous difference equat...

On the periodic nature of some max-type difference equations

Recently there has been a lot of interest in studying the global attractivity, the boundedness character, and the periodicity nature of nonlinear difference equations. In [5, 6, 8] some global convergence results were established which can be applied to nonlinear difference equations in proving that every solution of these equations converges to a periodic solution (which need not necessarily b...

Global Attractivity and Periodic Nature of a Difference Equation

Our goal in this paper is to investigate the global stability character and the periodicity of the solutions of the difference equation Where the initial conditions x ,x ,...,x are arbitrary positive real numbers, r = max{l, k} is nonnegative integer –r –r+1 0 and a, b, c, d are positive constants.

Global Attractivity of a Family of Max-Type Difference Equations