稳定性理论中两个新定理

Two New Theorems in the Stability Theory

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.