In this paper, we discuss the global asymptotic stability of all solutions of the difference equation xnþ1 ¼ Axn2 B þ Cxnxn1xn2 ; n ¼ 0; 1; ... where A;B; C are positive real numbers and the initial conditions x2; x1; x0 are real numbers. Although we have an explicit formula for the solutions of that equation, the oscillation character is worth to be discussed.
Abo-Zeid, R. (2015). On the oscillation of a third order rational difference equation. Journal of the Egyptian Mathematical Society, 23(1), 62-66. doi: 10.1016/j.joems.2014.03.001
MLA
R. Abo-Zeid. "On the oscillation of a third order rational difference equation", Journal of the Egyptian Mathematical Society, 23, 1, 2015, 62-66. doi: 10.1016/j.joems.2014.03.001
HARVARD
Abo-Zeid, R. (2015). 'On the oscillation of a third order rational difference equation', Journal of the Egyptian Mathematical Society, 23(1), pp. 62-66. doi: 10.1016/j.joems.2014.03.001
VANCOUVER
Abo-Zeid, R. On the oscillation of a third order rational difference equation. Journal of the Egyptian Mathematical Society, 2015; 23(1): 62-66. doi: 10.1016/j.joems.2014.03.001
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