Solution of a rational recursive sequences of order three

Behavior of a rational recursive sequences

where the initial conditions are arbitrary nonzero real numbers. Recently there has been a great interest in studying the qualitative properties of rational difference equations. For the systematical studies of rational and nonrational difference equations, one can refer to the papers [1-41] and references therein. The study of rational difference equations of order greater than one is quite ch...

Solution for Rational Systems of Difference Equations of Order Three

with initial conditions x−2, x−1, x0, y−2, y−1, and y0 are nonzero real numbers. Recently, there has been great interest in studying difference equation systems. One of the reasons for this is the necessity for some techniques that can be used in the investigation of equations arising in mathematical models describing real life situations in population biology, economics, probability theory, ge...

General form of some rational recursive sequences

In this note, we study the general form of some rational recursive sequences. By some modification of the methods and ideas, as well as the transformation from the paper [K. The global attractivity of the rational difference equation y n = y n−k +yn−m 1+y n−k yn−m , Appl. Math. Lett. 20 (2007), 54–58], we give a new proof for the conjectures posed therein.

STUDYING THE BEHAVIOR OF SOLUTIONS OF A SECOND-ORDER RATIONAL DIFFERENCE EQUATION AND A RATIONAL SYSTEM

In this paper we investigate the behavior of solutions, stable and unstable of the solutions a second-order rational difference equation. Also we will discuss about the behavior of solutions a the rational system, we show these solutions may be stable or unstable.  

Intersections of Second - Order Linear Recursive Sequences