基于随机微分方程稳定性理论，给出了随机保性能控制器存在的充分条件。
Based on stability theory in stochastic differential equations, a sufficient condition on the existence of stochastically guaranteed cost controllers is derived.
以偏微分方程稳定性的判别为依据，提出了临界风速的概念用来判定导线舞动的稳定性。
Based on the stability of differential equation, a concept of critical wind was introduced to estimate the stability of galloping.
本文利用微分方程稳定性理论，研究了城市交通容量中两种交通方式的竞争关系，它们适合于根舍模型；
Using the theory for differential equation stability, this paper investigates a struggle relationship between two traffic modes in city traffic volume , and shows they suit Gause' s model.
第二章详细论证了一类具有无穷时滞中立型积分微分方程周期解的存在唯一性和稳定性。
The second chapter discusses and proves the existence and uniqueness of periodic solutions and stability of a neutral integral and differential equation with infinite delay in detail.
本文用微分方程定性理论来分析俯仰力矩曲线随迎角变化的“勺形”对飞机飞行稳定性的影响。
The theory of stability of differential equations is used to analyse the 'effect of reversal slope of pitch moment to the stability of aircraft.
关于双曲型偏微分方程式差分逼近的双边值问题的G.K.S。稳定性。
The G. K. S. Stability of the Hyperbolic Difference Approximation with Two Boundaries Initial-Value Problems.
利用微分方程线性稳定性判据，分析了斯通纳粒子LLG方程的动力学性质。
The dynamical stability of the LLG equation of the Stoner particles is analyzed by using the linear stability criteria of differential equations.
由于模态控制律直接通过时滞微分方程而得出，因此所给控制方法易于保证控制系统的稳定性。
System stability is prone to be guaranteed by using the proposed control method due to the fact that the modal control law is designed directly from time-delay differential equation.
本文应用比较方法，提出滞后型泛函微分方程初始问题的近似解法，给出了解的近似迭代序列及其误差估计式，并证明迭代序列的收敛性和计算稳定性。
Using the comparison method, an approximate approach to the delay-differential equations is proposed in this paper. The proof of its convergence and calculation stability is also given.
本文给出了延迟微分方程数值解的稳定性分析。
This paper deals with the stability analysis of numerical methods for the solution of delay differential equations.
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.
通过求解描述列车系统的运动微分方程组，得出了列车蛇行运动稳定性、动态曲线通过性能及运行平稳性等方面的一系列数值仿真结果。
By solving the differential equation groups to describe the train system, a series of simulation results about hunting motion stability, dynamic negotiation and ride comfort were worked out.
在一定的条件下我们证明了非线性互补问题的解是该微分方程系统的平衡点，并且证明了该微分方程系统的稳定性和全局收敛性。
We prove that the solution of a nonlinear complementarity problem is exactly the equilibrium point of differential equation system, and prove the asymptotical stability and global convergence.
研究了非线性脉冲微分方程零解的最终稳定性。
This paper investigated the eventual stability of the zero solution of nonlinear impulsive differential systems.
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.
利用泛函分析的技巧讨论了一类对具有连续时滞非线性积分微分方程周期解的稳定性。
The stability of periodic solutions of a kind of nonlinear integral-differential equations with continuous delay is discussed in this paper mainly by the method of functional analysis.
在任意形状弹性薄壳稳定性方程的基础上进一步推导了椭圆形薄板的弹性稳定性方程，并且将所得到的方程最后化为用位移表达的微分方程序。
The equation of elastic stability for a thin elliptical plate is deduced from the equation of elastic stability for thin elastic shell with arbitrary shape.
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.
讨论非线性变延迟微分方程初值问题一般线性方法的稳定性。
The stability of general linear methods for a nonlinear multi-delay differential equation;
稳定性理论主要是研究在时间趋于无穷时微分方程解的性态。
Stability theory is concerned with the state of differential equation when time approach infinity.
方法利用微分方程定性理论对模型平衡点的稳定性进行分析。
MethodsStability of the equilibrium was obtained by Qualitative Theory of Ordinary Differential Equations.
研究了非线性脉冲微分方程零解的最终稳定性。
The asymptotic behavior of linear impulsive differential equations is studied.
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.
该文利用分析技巧，讨论了一类Volterra积分微分方程的稳定性。
In this paper, we study stability for a class of Volterra integrodifferential equation by using analytic technique.
该文利用分析技巧，讨论了一类Volterra积分微分方程的稳定性。
In this paper, we study stability for a class of Volterra integrodifferential equation by using analytic technique.
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