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On the dynamics of the recursive sequence ...[wzór]

Erdogan M. E., Cinar C.

Fasciculi Mathematici

2013

Nr 50

59--66

In this paper, we investigate the global behavior of the difference equation ...[wzór] where β is a positive parameter and α, γ are non-negative parameters and non-negative initial conditions.

On the solutions of the recursive sequence xx+1 = ...[wzór]

Karatas R.

Fasciculi Mathematici

2010

Nr 45

37-45

In this paper we study the solutions of the difference equation x + ...[wzór] for n = 0,1,2, ... where a, x_-(2k+1), x_-(2k), x_-(2k-1), ..., x₀ are the real numbers such that x₀x_{-(k+1) ≠ a, x_-1x_-(k+2) ≠ a, x_-2x_{-(k+3) ≠ a. ..., x_-kx_{-(2k+1) ≠ a and k is a natural number.}}}

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.

On the recursive sequence Xn+1=alfa+Xn-k:f(Xn,....Xn-k+1)

Karakostas G., Stevic S.

Demonstratio Mathematica

2005

Vol. 38, nr 3

595-610

The boundedness, global attractivity, oscillatory and asymptotic periodicity of the nonnegative solutions of the difference equation of the form Xn+l=alfa+Xn-k:f(Xn,....Xn-k+1, n=0, 1, ..... is investigated, where alfa > 0, k is an element of N and f : [0,infinity)- (0,infinity)k is a continuous function nondecreasing in each variable.