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http://dspace.centre-univ-mila.dz/jspui/handle/123456789/1779| Title: | ON THE SOLUTIONS OF A SYSTEM OF (2p+1) DIFFERENCE EQUATIONS OF HIGHER ORDER |
| Authors: | Yacine, Halim |
| Keywords: | Fibonacci sequence, Lucas sequence, system of difference equations, representation of solutions |
| Issue Date: | 2-Jun-2021 |
| Publisher: | university center of abdalhafid boussouf - MILA |
| Abstract: | In this paper we represent the well-defined solutions of the system of the higher-order rational difference equations x( j) n+1 = 1+2x( j+1)mod(2p+1) nk 3+x( j+1)mod(2p+1) nk ; n;k; p 2 N0 in terms of Fibonacci and Lucas sequences, where the initial values x( j) k;x( j) k+1; : : : ;x( j) 1 and x( j) 0 , j = 1;2; : : : ;2p+1, do not equal -3. Some theoretical explanations related to the representation for the general solution are also given. 2010 Mathematics Subject Classification: 39A10; 40A05 |
| URI: | http://dspace.centre-univ-mila.dz/jspui/handle/123456789/1779 |
| ISSN: | 1787-2413 |
| Appears in Collections: | Mathematics and Computer Science |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ON THE SOLUTIONS OF A SYSTEM OF (2p+1) DIFFERENCE.pdf | 1,11 MB | Adobe PDF | View/Open |
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