Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients
Ibrahim, T. (2016). Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients. EKB Journal Management System, 24(4), 538-544. doi: 10.1016/j.joems.2016.03.002
Tarek F. Ibrahim. "Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients". EKB Journal Management System, 24, 4, 2016, 538-544. doi: 10.1016/j.joems.2016.03.002
Ibrahim, T. (2016). 'Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients', EKB Journal Management System, 24(4), pp. 538-544. doi: 10.1016/j.joems.2016.03.002
Ibrahim, T. Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients. EKB Journal Management System, 2016; 24(4): 538-544. doi: 10.1016/j.joems.2016.03.002

Closed form expression of tractable semi-max-type two-dimensional system of difference equations with variable coefficients

Journal of the Egyptian Mathematical Society
Volume 24, Issue 4, 2016, Page 538-544  XML PDF (408.31 K)
DOI: 10.1016/j.joems.2016.03.002
View on SCiNiTO View on SCiNiTO
Author
Tarek F. Ibrahim
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
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 , + ∞ ) .
Keywords
Eventually periodic solutions; Difference equations; Semi-max-type system
Statistics
Article View: 23
PDF Download: 10