摘要
1 定义了向量函数上、下拟单调的概念,依此建立了向量拟差分不等式。 2 利用向量Lyapunov函数法,给出了一般非线性离散系统平凡解稳定及不稳定的比较定理。
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.
