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https://dspace.univ-ouargla.dz/jspui/handle/123456789/36429
Title: | Study of certain system of difference equations |
Authors: | BADIDJA, Salim Meriem, Chaachoue |
Keywords: | système d'équation aux différences suite de Fibonacci stabilité et périodicité des solutions system of difference equations Fibonacci sequences stability and periodicity of solutions |
Issue Date: | 2024 |
Publisher: | UNIVERSITY KASDI MERBAH OUARGLA |
Abstract: | Cette recherche porte sur la notion d'équation aux différences et ses modèles, en plus de ses solutions
liées à la suite de Fibonacci. Nous avons ensuite étudié la stabilité et la périodicité de ces solutions.
Le système d'équations de différence est donné comme suit :
xn+1 =
1
1+ yn−1
yn+1 =
1
1+ xn−1
n ∈N0,k = 2
Les conditions initiales x0, x−1, y0, y−1 sont des nombres réels. This research deals with the concept of the difference equation and its models, in addition to its solution related to the Fibonacci sequence. We then studied the stability and periodicity of these solutions. The difference equation system is given as follows : xn+1 = 1 1+yn−1 yn+1 = 1 1+xn−1 n ∈N0,k = 2 The initial conditions x0, x−1, y0, y−1 are real numbers |
Description: | Functional analysis |
URI: | https://dspace.univ-ouargla.dz/jspui/handle/123456789/36429 |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
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Meriem- Chaachoue.pdf | 706,26 kB | Adobe PDF | View/Open |
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