本文针对一般非线性系统，在渐近稳定的条件下，得到了完全系统的周期解的存在性、唯一性及收敛性。
In this paper, we obtain the existence, uniqueness and the convergence of a periodic solution of the full system for general nonlinear systems under asymptotically stable conditions.
应用类比法，给出了一类五阶非线性微分方程零解的全局渐近稳定的充分条件。
In this paper, analogy method is used to discuss the global, asymptotical and stable zero solution of non-linear five-order differential equation.
本文讨论了几个特殊的二维驻定方程组解的全局渐近稳定性问题。
In this paper, the problem about asymptotic stability in the large of the solution of several particular two-dimensional autonomous systems is discussed.
在适当条件下，证明了平衡解方程有唯一解且是全局渐近稳定的。
Moreover, for some Special cases, it is proved that there exists unique equilibrium solution and it is global asymptotically stable.
对差分方程的研究就是讨论它的解的最终性态，包括振动性、循环长度及全局渐近稳定性等。
The investigation on difference equation is to discuss its eventually behavior of the solutions, including oscillation, cycle length and global asymptotic stability, etc.
在广义延迟系统渐近稳定的前提下，分析了用块方法求解广义延迟系统数值解的稳定性。
On the basis of the asymptotic stability of generalized delay differential equations(GDDEs), the numerical solutions of one block methods for GDDEs were analysed.
针对多指手机器人抓取系统，引入了密度函数用于研究其线性及非线性系统的稳定性，得到了使抓取系统的平衡解几乎处处渐近稳定的不等式条件。
In order to study the stability of robotic multi-fingered grasping, density function is constructed, and the inequality condition of everywhere stability of grasping system is obtained.
在一定的假设下，我们证明其驻波解是渐近稳定的。
It is proved that the stationary wave is asymptotically stable under some assumptions.
无限区间上s -分布时滞广义递归神经网络模型概周期解的全局渐近稳定性。
Global asymptotic stability of general recurrent neural network models with S-type distributed delays on infinite intervals.
运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。
The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.
讨论了一类随机可变时滞系统解的渐近稳定性。
Asymptotic stability of the solution to a class of stochastic systems with variable delay is discussed.
通过研究相应算子的谱特征得到该系统解的渐近稳定性。
Asymptotic stability of the solution of this system is obtained by studying spectral properties of the operator corresponding to this system.
用变量梯度法构造李雅普·诺夫函数，解决一类二阶非线性系统解的全局渐近稳定性问题。
This article makes use of variable gradient method and structure Lyapunov Function to solve a kind of global asymptotic stability for solutions of non-linear system of the second order.
获得了解的整体存在惟一性，并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
对系数附加条件后，该模型的任意正解渐近稳定地趋于对应周期系统的正周期解。
If the coefficients satisfy additional conditions, every positive solutions of the model asymptotically approach the unique strictly positive periodic solution of the corresponding periodic system.
文章讨论了一类变系数变时滞微分系统的一致渐近稳定性，利用拉兹密辛型条件及稳定性的有关理论，得到了该系统零解的一致渐近稳定性的简明判据。
Some concise stability criterions for uniformly asymptotic stability of the zero solution of this systems are obtained by using Razumikhin technical and the related theorem of stability.
运用泛函分析的方法 ，通过分析系统主算子的谱特征 ，给出一类具有备用部件的可修人机系统解的渐近稳定性证明 。
By using functional method, the asymptotic stabitity of a solution of a repairable standby human-machine system is proved, by studing spectral properties of the operator corresponding to this system.
本文进一步研究了这些系数随时间变化而趋于一个定值或在某一常数附近作周期性振荡，并给出容易检验存在唯一全局渐近稳定的正周期解的条件。
In this article we further study the cases in which the coefficients of the model vary with time and tend to definite values or vibrate periodically near certain constants and...
讨论了一类具反馈控制的两种群竞争模型，获得了其存在唯一，全局渐近稳定周期解的充分条件。
A two species competitive system with feedback controls is considered. Sufficient conditions are derived that guarantee the persistence of the system.
讨论了一类具反馈控制的两种群竞争模型，获得了其存在唯一，全局渐近稳定周期解的充分条件。
A two species competitive system with feedback controls is considered. Sufficient conditions are derived that guarantee the persistence of the system.
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