查询词典 sufficient condition

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively. Compared with some known results in the literature, the equations discussed by us are more general, and our results are concise and easy to be verified.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

Using the theory on delay functional and impulsive differential equation, sufficient condition with time delay for the permanence of the system was obtained. And it was proved, that time delays, pulse vaccination and vertical transmission can bring obvious effects on the dynamics behaviors of the model.

运用脉冲时滞泛函微分方程理论，获得了含有时滞的持久性的充分条件，并且证明了时滞、脉冲免疫与垂直传染对模型的动力学行为能够产生显著的影响。

We prove the Fundamental Theorem of the entwined modules and give a necessary and sufficient condition for the R-twisted product of two bialgebras to be a bialgebra.

主要证明了缠扭模上的基本定理；给出了两个双代数的R-扭积是双代数的一个充要条件。

According to the Galois extension theory of the number field,the discriminant of the field and the integral basis theory,the necessary and sufficient condition is attained which is m≡n≡1(mod4),where m and n are two different rational integers without square factors.

四次域是重要的Galois数域之一，该文对四次域Q进行了讨论；利用Galois扩张、域的判别式及整基等一些理论，得出了其具有正规整基的充要条件为m≡n≡1(mod4)(其中m，n是2个不同的无平方因子有理整数)。

Furthermor, we consider their nondiferentiable situation, we define nonsmooth univex functions for Lipschitz functions by using Clarke generalized directional derivative and study nonsmooth multiobjective fractional programming with the new convexity. We establish generalized Karush-Kuhn-Tucker necessary and sufficient optimality condition and prove weak, strong and strict converse duality theorems for nonsmooth multiobjective fractional programming problems containing univex functions.

而且，本文利用Clarke广义方向导数针对Lipschitz函数在原来一致凸函数概念的基础上定义了不可微的一致凸函数，并利用这类新凸性，我们研究了非光滑多目标分式规划，获得了广义Karush-Kuhn-Tucher最优性条件；弱对偶定理、强对偶定理和严格逆对偶定理。

When the generator polynomial of a given linear rank distance code possesses generalized continuous roots set, the sufficient condition that makes the given linear rank distance code forming rank distance BCH code is discussed.

他们指出当线性秩距离码的生成多项式的根集不是连续根集时，确定秩距离码的最小秩距离以及构做极大秩距离码是未解决的问题。

Moreover, we still get an sufficient and necessary condition of uniform sequence of generalized fuzzy integrable functions.

此外，还得到了非负模糊可测函数列广义模糊一致可积的一个充分必要条件。

In the forth chapter, a necessary and sufficient condition of the approximation by the partial sum of the generalized Baskakov operators is discussed.

第四章给出广义Baskakov算子用其部分和来代替进行逼近的一个充分必要条件。

Finally, a sufficient condition for output feedback stabilization of min-max-plus system is obtained according to new coloring graph and new circuits characteristics.

最后， 根据新着色图和新增圈特点得到了系统输出反馈镇定的一个充分条件。

Cable dampener cannot be rolled up but must be hung over the cable.

缆帆不能被卷起，必须保证处于展开状态

"This skylark is a present from my master," he says.

"这只云雀是我主人献上的礼物。"他说。