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The behavior of the solutions of the following system of difference equations is examined, [Formula Presented] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations.
Keyword: limit; Rational difference equation; solution; stability
The behaivour of the solutions of the following system of difference equations is examined,
x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]
where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations
In this work we investigated the solution for the following difference equation
x(n+1) = x(n)-17/1 + Pi(4)(t=0) x(n) - 3t-2
where x-17, x-16, ..., x-1, x(0) is an element of (0, infinity). Moreover, we gave a numerical example of to the solution the related difference equation.