【摘要】 本文在常值矩阵 A=(a_ij)以零为 r 重特征根,其余根均有负实部条件下讨论了非驻定系统 dx/dt=sum.from to j=1(a_ijx_j+f_i（t,x₁,…,x_n）)零解的稳定问题,得到了判断该系零解为稳定或不稳定的充分条件。更多还原

【Abstract】 This paper discusses the stability of Non-stationary System dx₁/dt +f₁（t,x₁,…,x_n） under the conditions that the characteristic equation of costant matrix A=(a_ij) has r-multiple zero roots and its rest roots posses nagtive real parts.Sufficient conditions that can judge the trivial solution of the discussed system to be stable or not are obtained.更多还原