Dynamics and Global Stability of Second Order Nonlinear Difference Equation

Elsayed, E. M.; Gafel, Hanan S.

doi:10.28919/cpr-pajm/1-16

Research article

Dynamics and Global Stability of Second Order Nonlinear Difference Equation

E. M. Elsayed, Hanan S. Gafel

Abstract

In this paper, we study some qualitative behavior of the solutions of the following rational difference equation with order two

x_n+1=ax_n+bx_n₋₁+cx_n+dx_n₋₁/e+fx_n₋₁,

where the parameters a, b, c, d, e and f are positive real numbers and the initial conditions x₋₁ and x₀ are positive real numbers.

How to cite

E. M. Elsayed, H. S. Gafel, Dynamics and Global Stability of Second Order Nonlinear Difference Equation, Pan-Amer. J. Math. 1 (2022), 16. https://doi.org/10.28919/cpr-pajm/1-16

BibTeX

@article{Elsayed2022,
  author  = {Elsayed, E. M. and Gafel, Hanan S.},
  title   = {Dynamics and Global Stability of Second Order Nonlinear Difference Equation},
  journal = {Pan-Amer. J. Math.},
  volume  = {1},
  year    = {2022},
  pages   = {16},
  doi     = {10.28919/cpr-pajm/1-16}
}