Lyapunov Function and Comparison Principle for Discrete Systems
Received:March 20, 1989  
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Sun Yuzhi HeBei University Mathematics Department 
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      In this paper, we defined the concepts of upper-qusi-monotone and sub-qusi-monotone for vector functions. Then, vector qusi-difference inqualities are founded. Furthermore, using vector Lyapunov function methods, comparison theorems for stability and unstability of the trivial solution of non-linear discrete systems are given.
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