王慕秋,王联,崔学伟.离散大系统在结构扰动下周期解的存在性[J].数学研究及应用,1988,8(4):559~566
离散大系统在结构扰动下周期解的存在性
The Existence of Periodic Solutions of Large-scale Discrete Systems under Structural Perturbations
投稿时间:1986-03-12  
DOI:10.3770/j.issn:1000-341X.1988.04.017
中文关键词:  
英文关键词:
基金项目:
作者单位
王慕秋 中国科学院数学所 
王联 中国科学院数学所 
崔学伟 曲阜师范学院 
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英文摘要:
      The stability of Large-scale discrete systems has been deeply studied for recent years, the study of their periodic solutions, however , remains untouched. The dissertation firstly considers the boundness of solutions of large scale discrete systems. It is proved in this paper there exists a periodic solution if the solutions of the difference equation with periodic coefficients are ulfimate boun ded. Using the method of Liapunov functions, the dissertation then studies the existence of periodic solutions of large-scale discrete systeme.
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