Journal of innovative applied mathematics and computational sciences
Volume 1, Numéro 1, Pages 1-15
2021-12-30
Authors : Akrour Youssouf .
In this work, we show that the system of difference equations xn+1=(ayn-2xn-1yn+bxn-1yn-2+cyn-2+d)/(yn-2xn-1yn), yn+1=(axn-2yn-1xn+byn-1xn-2+cxn-2+d)/(xn-2yn-1xn), where n belongs to the set of positive integer numbers, x-2, x-1, x0, y-2, y-1 and y0 are arbitrary nonzero real numbers, and the parameters a, b, c and d are arbitrary real numbers with d nonzero can be solved in a closed form. We will see that when a = b = c = d = 1, the solutions are expressed using the famous Tetranacci numbers. In particular, the results obtained here extend those in our recent work.
System of difference equations, general solution, Tetranacci numbers.
Al-rakhami Faiza
.
Elsayed E.
.
pages 83-120.
Mir Ahmed
.
Cheriet Salah Edinne
.
ص 514-520.
Bousselsal Mahmoud
.
Bellour Azzeddine
.
pages 66-74.
Elsayed Elsayed Mohamed
.
Alharbi Kholoud N.
.
pages 78-91.
Salim Abdelkrim
.
Abbas Said
.
Lazreg Jamal Eddine
.
Benchohra Mouffak
.
pages 1-14.