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On the global attractivity and the periodic character of a recursive sequence

Elsayed E. M.

Opuscula Mathematica

2010

Vol. 30, no. 4

431-446

In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence [formula], where the parameters a, b, c, d and e are positive real numbers and the initial conditions x-2, x-1 and x0 are positive real numbers.

On the solutions of a rational system of difference equations

Elsayed E. M.

Fasciculi Mathematici

2010

Nr 45

25-36

In this paper we deal with the solutions of the system of the difference equations xn+1 = ...[wzór], yn+1 = ...[wzór], with a nonzero real numbers initial conditions.

On the solution of the recursive sequence

Elabbasy E.M., Elsayed E.M.

Fasciculi Mathematici

2009

Nr 41

55-63

We obtain in this paper the solution of the following recursive sequence where the initial conditions x-2, x-1are arbitrary non zero real numbers.

On the solution of recursive sequence of order two

Elsayed E. M.

Fasciculi Mathematici

2008

Nr 40

5-13

We obtain in this paper the solution of the following difference equation (formula), n= 0, 1,... where the initial conditions x-1, x0 are arbitrary real numbers.