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GLOBAL DYNAMICAL BEHAVIOURS AND PERIODICITY OF A CERTAIN QUADRATIC-RATIONAL DIFFERENCE EQUATION WITH DELAY.
- Source :
-
Miskolc Mathematical Notes . 2022, Vol. 23 Issue 1, p471-484. 14p. - Publication Year :
- 2022
-
Abstract
- Our aim in this paper is to deal with the dynamics of following higher order difference equation xn+1 = A+B xn-m x 2 n where A,B > 0, and initial values are positive, and m = {1,2....}. Furthermore, we discuss the periodicity, boundedness, semi-cycles, global asymptotic stability of solutions of these equations. We also handle the rate of convergence of solutions of these difference equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 23
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 157847215
- Full Text :
- https://doi.org/10.18514/MMN.2022.3996