Please use this identifier to cite or link to this item: http://dspace.centre-univ-mila.dz/jspui/handle/123456789/1514
Title: On a system of difference equations of third order solved in closed form
Authors: Youssouf, Akrour,Touafek, halimNouressadat ,Yacine
Keywords: System of difference equations, general solution, Tetranacci numbers. 2020 Mathematics Subject Classification: 39A05, 39A06, 39A10.
Issue Date: Dec-2021
Publisher: University Center Abdelhafid Boussouf, Mila, Algeria
Series/Report no.: Vol. 1 No. 1;
Abstract: 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 2 N0, x􀀀2, x􀀀1, x0, y􀀀2, y􀀀1 and y0 are arbitrary nonzero real numbers and a, b, c and d are arbitrary real numbers with d , 0, 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.
URI: http://dspace.centre-univ-mila.dz/jspui/handle/123456789/1514
ISSN: 2773-4196
Appears in Collections:Mathematics and Computer Science

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