Global behavior in rational difference equations
We investigate the global behavior of the solutions of several rational difference equations. In particular, we study the global stability, the periodic nature, and the boundedness character of their solutions. We investigate four equations in this dissertation: ^ In the first manuscript we study the equation xn+1=a+bxn+g xn-1+dxn-2A+Bxn +Cxn-1+Dxn-2, n=0,1,... and we determine all special cases of this equation which possess an "essentially unique" period-two solution, and we pose several open problems and conjectures about their behavior. ^ In the second manuscript, we exhibit a range of parameters and a set of initial conditions where the rational difference equation xn+1=a+i=0
"Global behavior in rational difference equations"
Dissertations and Master's Theses (Campus Access).