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On the Global Asymptotic Stability and 4-Period Oscillation of the Third-Order Difference Equation.
- Source :
-
Journal of Applied Mathematics . 11/11/2023, p1-7. 7p. - Publication Year :
- 2023
-
Abstract
- The main objective of this paper is to study the global behavior and oscillation of the following third-order rational difference equation x n + 1 = α x n x n − 1 x n − 2 / β x n − 1 2 + γ x n − 2 2 , where the initial conditions x − 2 , x − 1 , x 0 are nonzero real numbers and α , β , γ are positive constants such that α ≤ β + γ. Visual examples supporting solutions are given at the end of the study. The figures are found with the help of MATLAB. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GLOBAL asymptotic stability
*DIFFERENCE equations
*OSCILLATIONS
*REAL numbers
Subjects
Details
- Language :
- English
- ISSN :
- 1110757X
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 173605455
- Full Text :
- https://doi.org/10.1155/2023/5726617