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- Title
On the Higher Order Difference Equation x<sub>n+1</sub> = βx<sub>n</sub>+βx<sub>n-l</sub>+γx<sub>n-k</sub> + ax<sub>n</sub>x<sub>n-k</sub>/bx<sub>n</sub> + cx<sub>n-l</sub> + dx<sub>n-k</sub>.
- Authors
El-Dessoky, M. M.; Al-Basyouni, K. S.
- Abstract
The main objective of this paper is to investigate the global stability of the solutions, the boundedness and the periodic character of the nonlinear difference equationxn+1 = βxn+βxn-l+γxn-k + axnxn-k/bxn + cxn-l + dxn-k, n = 0, 1, ..., where the parameters α, β, γ, a, b, c and d are positive real numbers and the initial conditions x-s, x-s+1, ..., x-1, x0 are positive real numbers where s = max{l, k}. Some numerical examples will be given to explicate our results.
- Subjects
DIFFERENTIAL equations; MATHEMATICAL physics; REAL numbers; REAL analysis (Mathematics); LINEAR equations
- Publication
Journal of Computational Analysis & Applications, 2019, Vol 26, Issue 1, p1013
- ISSN
1521-1398
- Publication type
Article