On the solutions of a second order difference equation

Mathematica Moravica

Abo-Zeid R.¹ 

[1] Department of Basic Science The Higher Institute for Engineering & Technology-Al-Obour, Cairo, Egypt;

关键词: difference equation;    forbidden set;    periodic solution;    unbounded solution;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we discuss the global behavior of all solutions of the difference equation Xn+1 = XnXn-1 axn + bxn-1, n € N0, where a; b are real numbers and the initial conditions X-1, X0 are real numbers. We determine the forbidden set and give an explicit formula for the solutions. We show the existence of periodic solutions, under certain conditions.

【 授权许可】

Unknown