差分方程x_(n+1)=(α+βx_n+γx_(n-1))/(A+Bx_n+Cx_(n-1))两个猜想的证明(英文) The Confirmation of Two Conjectures about the Difference Equation x_(n+1)=(α+βx_n+γx_(n-1))/(A+Bx_n+Cx_(n-1))
摘 要:证明差分方程xn+1=α+βxn+γxn-1A+B xn+Cxn-1,n=0,1,…当C∈(0,+∞)时每个非负解是有界的.v Eery non-negative solution of the difference equation xn+1=α+βxn+γxn-1/A+Bxn+Cxn-1 ,n=0,1,…where C∈(0,+∞), is bounded.