一类具有非唯一解的常微分方程

One kind of Ordinary Differential Equations with Nonunique Solutions

利用二阶常微分系统平衡点的渐进稳定性,研究了一类具有非唯一解的常微分方程,并给出方程具有非唯一解的判定条件,通过实例证明了该判定方法的正确性、有效性.

Using the asymptotic stability of the equilibrium point of the second order ordinary differ ential system, we studya class of ordinary differential equations with non unique solutions. The conditions for the non unique solutions of the equations are given. The correctness and validity of this method are also proved by examples.