Global behavior and oscillation of a third order difference equation

  • R. Abo-Zeid
Keywords: Difference equation, forbidden set, invariant set, oscillation, convergence.

Abstract

In this paper, we solve and study the global behavior of the admissible solutions of the difference equation xn+1 = xnxn-2 / axn-1 + bxn-2 n = 0,1,...., where a,b > 0 and the initial values x−2, x−1, x0 are real numbers. We study also the oscillation of the admissible solutions of the aforementioned difference equation and give some illustrative examples.

Published
2021-11-09
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606