Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
10.1016/j.joems.2016.03.002
Abstract
In this paper we shall examine the periodicity and formularization of the solutions for a system of semi-max-type difference equations of second order in the form x n +1 = max
A n y n −1 , x n −1
, y n +1 = min
B n x n −1 , y n −1
, n ∈ N 0 , where N 0 = N ∪ { 0 } , (A n ) n ∈ N 0 and (B n ) n ∈ N 0 are two-periodic positive sequences, and initial values x 0 , x −1 , y 0 , y −1 ∈ (0 , + ∞ ) .
Ibrahim, T. (2016). Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients. Journal of the Egyptian Mathematical Society, 24(4), 538-544. doi: 10.1016/j.joems.2016.03.002
MLA
Tarek F. Ibrahim. "Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients", Journal of the Egyptian Mathematical Society, 24, 4, 2016, 538-544. doi: 10.1016/j.joems.2016.03.002
HARVARD
Ibrahim, T. (2016). 'Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients', Journal of the Egyptian Mathematical Society, 24(4), pp. 538-544. doi: 10.1016/j.joems.2016.03.002
VANCOUVER
Ibrahim, T. Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients. Journal of the Egyptian Mathematical Society, 2016; 24(4): 538-544. doi: 10.1016/j.joems.2016.03.002