Global behavior of two third order rational difference equations with quadratic terms

In: Mathematica Slovaca, vol. 69, no. 1

R. Abo-Zeid

Detaily:

Rok, strany: 2019, 147 - 158

Kľúčové slová:

difference equation, forbidden set, periodic solution, unbounded solution

DOI: https://doi.org/10.1515/ms-2017-0210

O článku:

In this paper, we determine the forbidden sets, introduce an explicit formula for the solutions and discuss the global behaviors of solutions of the difference equations

$$ x_n+1=((ax_nx_n-1) / (\pm bx_n-1+ cx_n-2)), n=0,1,… $$

where $a,b,c$ are positive real numbers and the initial conditions $x_-2,x_-1,x₀$ are real numbers.

Ako citovať:

ISO 690:

Abo-Zeid, R. 2019. Global behavior of two third order rational difference equations with quadratic terms. In Mathematica Slovaca, vol. 69, no.1, pp. 147-158. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0210

APA:

Abo-Zeid, R. (2019). Global behavior of two third order rational difference equations with quadratic terms. Mathematica Slovaca, 69(1), 147-158. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0210

O vydaní:

Publikované: 24. 1. 2019