global non-existence

基本解释

By using the qualitative methods of ODE, the positive equilibrium's global stability and existence and uniqueness of non-small amplitude stable limit cycle were obtained.
应用常微分方程定性方法，得到了正平衡点的全局稳定性和非小振幅极限环的存在唯一性的充分条件。
In the non-autonomous perturbation case, some sufficient conditions for the global existence of periodic solutions of this system are obtained by using the theorem of coincidence degree.
然后，在非自治扰动下，利用迭合度理论讨论了该方程组解的存在性，并得到了该方程组周期解全局存在的充分条件。
The global stability of the positive equilibrium, the existence and uniqueness of the non-small amplitude stable limit cycle are obtained by applying the methods of ordinary differential equations.
得到了正平衡点的全局稳定性和非小振幅极限环的存在惟一性的充分条件。