摘要
考虑形如Xn＋1 = f （Xn,Xn-k）, n=-0,1,2…的一类非线性高阶差分方程。在一定条件下。证明了它的半环的长度大于k。而且也给出了判断其解的稳定性的充分条件．
A class of nonlinear higher order difference equations is studied, which is given by xn＋1 = f （xn,xn-k）, n=-0,1,2…. It is demonstrated that the length of its semicycle is greater than k under some special conditions. Moreover , a sufficient condition for stability of its solution is given.
作者
马学敏
MA Xue-min （College of Mathematics and Information Science , Northwest Normal University , Lanzhou , Gansu 730070 , China）
出处
《株洲师范高等专科学校学报》
2007年第2期28-30,共3页
Journal of Zhuzhou Teachers College
关键词
差分方程
半环
稳定性
Difference equation
Semicycle
Stability
