查询词典 uniqueness

In this paper,we study the existence.uniqueness and asymptotic stability of the periodic solutions for a class of nonautonomous systems by using the method of Liapunov Function.

利用Liapunov函数方法，研究了一类非自治系统周期解的存在唯一性及渐近稳定性，得到了存在唯一渐近稳定的周期解的充分条件。

This system is permanent by comparative principle and globally asymptotically stable through constructing a Liapunov function; for the periodic case, the research has obtained conditions for existence, uniqueness and stability of a positive periodic solution.

利用比较原理研究了系统的持久性，通过构造Liapunov函数证明了系统的全局渐近稳定性，在假设系统为周期系统的条件下得到了正周期解的存在唯一性和全局渐近稳定的充分条件。

Furthermore, when the system is a periodic system, sufficient conditions are obtained that guarantee the existence, uniqueness and global attractivity of the positive periodic solution by applying the Brouwer fixed theorem and the method of constructing Liapunov function.

利用比较原理给出了系统一致持久性的充分条件；当系统是周期系统时，应用Brouwer不动点原理和构造Liapunov函数的方法给出其存在惟一且全局吸引的ω-周期正解的充分条件，并通过实例验证了文中定理条件的可实现性。

The global stability of the positive equilibrium in this system is expounded by using the stability and qualitative theory of the ordinary difference equation,then the existence,the uniqueness and the global stability of the limit circle are proved,thus some former conclusions are extended.

利用微分方程稳定性和定性理论讨论该系统的正平衡点的全局稳定性问题，并得到了极限环的存在唯一性及其全局稳定性，推广了已有的一些结论。

The existence, uniqueness and stability of the limit cycle of its neural oscillator arc proved.

证明了此模型单个神经元振荡器的极限环的存在性、唯一性及稳定性。

In this paper, a class of dynamical system in biochemistry reaction is discussed by using the method of qualitative analysis. And, at the same time,the existence, nonexistence and uniqueness of a limit cycle are proved, so that the entire results for the system is obtained.

研究微分方程定性理论的应用，利用定性分析的方法，讨论了一类在生化反应中的动力系统，证明了其极限环的存在性、不存在性及极限环的存在唯一性，从而得到了完整的结果。

Results The necessary and sufficient condition of the existence and uniqueness of the limit cycles in this system is completely solved, and then the variance of limit cycle as the changing of parameter is discussed.

结果 得到了该系统存在惟一极限环的充要条件，并讨论了极限环随参数变化的情况。

Theorem 1 (Uniqueness of Limit of Function) If exists, then its limit is unique.

定理 1 如果存在，那么这极限唯一。

In this article, the existence and uniqueness of the generalized solution of this boundary value problem are discussed, the existence and convergence of Galerkin's approximate solution is proved, and Linear dependence of the the error bound on M~2/(1-M~2) is also proved, where M is Ma...

本文证明了这类方程弱解的存在和Galerkin逼近解的存在和收敛，并且还给出了有限元解的误差估计，指出误差界线性地依赖于M~2/(1—M~2)。M为马赫数。也就是说，当流速接近音速时，有限元解的误差将无法控制。

Moreover, existence, uniqueness and continuous dependence of decreasing solutions and non-monotonic solutions for a linear iterative functional equation are discussed.

第三章研究了线性型迭代方程的拟凸解、拟凹解、凸解及凹解的存在性。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。