摘要
由文献[5],通过改变条件,可得到一类二阶有理差分方程的不同定理,由此讨论了不同条件下平衡解x是否为全局渐近稳定、局部渐近稳定或不稳定,并给出了不同的证明方法;最后证明了二周期解的存在性问题.
Based on the monograph[5],through changing conditions,the different theorems of second order difference equations were obtained,that equilibrium point is whether locally asymptotically stable or globally asymptotically stable or unstable was discussed,and the different methods from the others were put forward.Finally,the existence of a period-two solution was proved.
出处
《海南大学学报（自然科学版）》
CAS
2010年第3期218-221,共4页
Natural Science Journal of Hainan University
基金
国家自然科学基金项目(10861002)
关键词
差分方程
平衡解
全局渐近稳定
局部渐近稳定
排斥点
鞍点
二周期解
difference equation
equilibrium point
globally asymptotically stable
locally asymptotically stable
repeller
saddle point
period-two solution
