Back to Search
Start Over
SOLVABILITY OF A THIRD-ORDER SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS VIA A GENERALIZED FIBONACCI SEQUENCE.
- Source :
-
Miskolc Mathematical Notes . 2024, Vol. 25 Issue 1, p271-285. 15p. - Publication Year :
- 2024
-
Abstract
- In this paper, we solve in closed-form the following third-order system of nonlinear difference equations xn+1 = ynyn−1x p n−1/xn(any q n−2 +bnynyn−1),/ yn+1 = xnxn−1y q n−1 yn(cnx p n−2 +dnxnxn−1), p,q ∈ N,n ∈ N0 where the initial values x−i, y−i,i = 0,1,2 and the parameters (an)n∈N0,(bn)n∈N0,(cn)n∈N0, (dn)n∈N0 are non-zero real numbers. The form of the solutions of the one dimensional case of our system and a more general system defined by one to one functions are also presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 25
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 177933551
- Full Text :
- https://doi.org/10.18514/MMN.2024.4340