稳定性理论中两个新定理  

Two New Theorems in the Stability Theory

作　　者：赵晓强[1] 

机构地区：[1]西北大学

出　　处：《纯粹数学与应用数学》1989年第5期81-82,共2页Pure and Applied Mathematics

摘　　要：考虑非自治微分方程. (dx)/(dt)=(t,x) x∈R^n (1)记I=[t_0+∞),G={x;x∈R^n且|x|≤H}(其中t_0≥0,H>0)设F(t,x)在区域I×G上连续可微且当t∈I时,F(t,0)In this paper; by using the comparision theorem of ordinary differential equation; we obtain the new non-stability theorem and asymptotic stability theorem, and generalize some theorems established Finally; the examples of application of theorems are cited.

关 键 词：常微分方程 稳定性理论 非自治微分方程 

分 类 号：O175.13[理学—数学]