【摘要】 非线性离散不等式及其应用马万彪（内蒙古师范大学数学系，呼和浩特０１００２２）ＮＯＮＬＩＮＥＡＲＤＩＳＣＲＥＴＥＩＮＥＱＵＡＬＩＴＩＥＳＡＮＤＴＨＥＩＲＡＰＰＬＩＣＡＴＩＯＮＳ￥ＭＡＷＡＮＢＩＡＯ（ＩｎｎｅｒＭｏｎｇｏｌｉａＴｅａｃｈｅｒ＇ｓＵｎｉｖｅ...更多还原

【Abstract】 In this paper, we first establish two classes of nonlinear discrete inequalities. Then, by making use of the inequalities and the methods of vector Liapunov functions, we study the stability of the trivial solutions of two classes of large-scale discrete systems; and some sufficient conditions are given regarding the uniform stability, uniform asymptotical stability and exponential stability.更多还原