时滞差分系统基于两种测度的有界性  

BOUNDEDNESS IN TERMS OF TWO MEASURES FOR DELAY DIFFERENCE SYSTEMS

作　　者：吴述金[1] 寇春海[1] 张书年[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《数学年刊（A辑）》2003年第5期639-646,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.19831030)

摘　　要：本文利用勒茹米辛型条件和向后差分算子获得一些定理可以确保时滞差分系统为(h_0,h)一致有界(一致有界且最终有界,一致有界且一致最终有界)。在所得到的定理中,对△V的限制较弱,便于应用。In this paper, the authors establish several theorems, in terms of Razumikhin-type conditions and the backward difference operators, which can ascertain that the delay difference systems are (h0,h) uniformly bounded (uniformly bounded and ultimately bounded, uniformly bounded and uniformly ultimately bounded). In the obtained theorems, ΔV is required to be less restrictive, which is more convenient to use.

关 键 词：时滞差分系统 (h0 h)一致有界 (h0 h)最终有界 (ho h)一致最终有界 LIAPUNOV函数 勒茹米辛型条件 

分 类 号：O174.12[理学—数学]