The Existence of Periodic Solutions of Large-scale Discrete Systems under Structural Perturbations
Received:March 12, 1986  
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Author NameAffiliation
Wang Muqiu Institute of Mathematics
Academia
Sinica 
Wang Lian Institute of Mathematics
Academia
Sinica 
Cui Xuemei Department of Mathematics
He'nan Normal University 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.1988.04.017
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