Solvability of a third-order system of nonlinear difference equations via a generalized Fibonacci sequence
| Autor: | Hamida Hamioud, Imane Dekkar, Nouressadat Touafek |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Miskolc Mathematical Notes, Vol 25, Iss 1, p 271 (2024) |
| Druh dokumentu: | article |
| ISSN: | 1787-2405 1787-2413 |
| DOI: | 10.18514/MMN.2024.4340 |
| Popis: | In this paper, we solve in closed-form the following third-order system of nonlinear difference equations xn+1= ynyn−1xn−1pxn(anyn−2q+bnynyn−1),yn+1= xnxn−1yn−1qyn(cnxn−2p+dnxnxn−1),p,q∈ℕ,n∈ℕ0 x−i,y−i,i=0,1,2(an)n∈ℕ0,(bn)n∈ℕ0,(cn)n∈ℕ0,(dn)n∈ℕ0 |
| Databáze: | Directory of Open Access Journals |
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