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。
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.
使用集总参数非线型模型来分析蒸发管中汽液两相流压力降型脉动，结果表明：压力降型不稳定性可以用二阶常微分方程来描述。
The pressure drop pulsation is analyzed by using a lumped parameter nonlinear model. The results show that the pressure drop type instability can be described by a second-order differential equation.
第一章列出了常微分方程定性与稳定性理论的几个重要结论。
Chapter One lists some important theorems in the qualitative theory and the stability theory of ordinary differential equations.
在该系统非负弱解存在的基础上，利用常微分方程理论，进一步讨论该系统解的半稳定性。
On the premise that the system there exists non-negative weak solution, the paper further discusses the semi-stability of the system solution using the theory of ordinary differential equations.
在该系统非负弱解存在的基础上，利用常微分方程理论，进一步讨论该系统解的半稳定性。
On the premise that the system there exists non-negative weak solution, the paper further discusses the semi-stability of the system solution using the theory of ordinary differential equations.
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