摘要：The rule of trajectory structure for fourth-order nonlinear difference equation , where and the initial values , is described clearly out in this paper. Mainly, the lengths of positive and negative semicycles of its nontrivial solutions are found to occur periodically with prime period 15. The rule is in a period. By utilizing this rule its positive equilibrium point is verified to be globally asymptotically stable.
关键词：Functional Equation ; Equilibrium Point ; Nontrivial Solution ; Clear Picture ; Stable Result
