Our goal in this paper is to examine the long-term behavior of solutions of the following difference equation xn+1=f(xn)/xn-1 wherefis piecewise linear, and the initial values x-1 and xoare non-zero real numbers. W...Our goal in this paper is to examine the long-term behavior of solutions of the following difference equation xn+1=f(xn)/xn-1 wherefis piecewise linear, and the initial values x-1 and xoare non-zero real numbers. We examine the boundedness, periodicity, and the existence of oscillatory solutions.展开更多
文摘Our goal in this paper is to examine the long-term behavior of solutions of the following difference equation xn+1=f(xn)/xn-1 wherefis piecewise linear, and the initial values x-1 and xoare non-zero real numbers. We examine the boundedness, periodicity, and the existence of oscillatory solutions.