非条件不等式

We give several sufficient conditions of NA and NSD properties of random variables, compare the closeness of distribution functions of order statistics between NA and independent rv's, investigate properties of NSD defined by supermodular functions, study the dependence structure of stationary Markov process and order statistics and their spacings from two samples, establish stochastic comparisons of order statistics of heterogeneous rv's in the hazard rate and the reversed hazard rate orders, and give the first analytic proof of the closure property of the up shifted likelihood ratio order under convolution.

给出判定一组随机变量NA性质的几个充分条件，并给出NA和独立随机变量的次序统计量之间"贴近性"的比较，系统地研究基于特殊函数类所定义的NSD负相依概念，给出一些判别NSD性质的结构定理和一些有用概率不等式。系统研究平稳马氏过程的相依结构。研究两样本次序统计量及其问题隔的相依结构。在失效率、反向失效率序和似然序意义下给出非齐次随机变量次序统计量的比较。给出上漂移似然序卷积封闭性的第一个解析证明。

Without presuming the activation functions to be continuous, bounded and monotone nondecreasing, by utilizing linear matrix inequality and Cellina approximate selection theory in differential inclusion, a sufficient condition is provided to ensure existence of periodic solutions for that recurrent neural networks.

在并不要求激励函数连续、有界及单调非减的情况下，通过利用线性矩阵不等式和微分包含中的Cellina近似选择定理，得到了该神经网络模型存在周期解的充分条件。

Our work on the problem of robust controller design for linear time-delay systems with nonlinear uncertain parameters are mainly concerned about thefollowing three aspects:Firstly, based on Lyapunov theory and using linear matrix inequation method, we put forward a plan to design the state feedback controller of the system with high structured uncertainty and matrix polytope structured uncertainty.

第三，在非结构不确定性假设下，基于系统的解和Bellman-Gronwall不等式，得出这类系统鲁棒稳定的充分条件。

Under the Lipschitz conditions,using Morrey space and Campanatospace methods and filling-hole technique to clear off the difficulty,whicharoused by that monotonic inequalities are no longer true and blow-uptechnique are very difficult to be used again,we obtain that the weaksolutions or the very weak solutions to systems(3)are locally Holdercontinuous.

对方程组（3），我们增加了Lipschitz条件，利用Morrey空间法和Campanato空间法和补洞技巧等来克服非齐次项带来的，单调不等式不再成立和Blow-up技巧难于适用的困难，得出了方程组（3）在一定的条件下的很弱解和弱解是局部〓连续的。

In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investigated based on the Hardy inequality and the Mountain Pass Geometry.

使用Hardy不等式和山路几何研究了一类拟线性椭圆问题非平凡解的存在性。由于难以得到所讨论的问题的基本解，因此研究中对基本解进行了估计，并证明了c条件

Main results:(1) For the stochastic Volterra type integral equation with singular kernels,it is the first time to be investigated under non-Lipschitz conditions. The existence-uniqueness and Hlder\'s continuity are established.Here,an extended Minkowski\'s inequality plays a key role.

主要结论：(1)关于具有奇异核的随机Volterra型积分方程，我们首次在非Lipschitz条件下进行研究，得到解的存在唯一性和Hlder连续性(此处证明的一个关键步骤应用了推广的Minkowski不等式)。

The sufficient conditions for persistence and global attractivity of peridic solutions are obtained by means of using differential inequality and constructing suitable Lyapunov function.

研究了一类扩散具有时滞的非自治捕食系统的持久生存与周期解问题，利用微分不等式和L iapunov泛函的方法得到了该系统持久生存与周期解全局吸引的充分条件。

I smile at your play with that little bit of a broken twig.

我微笑着看你玩那一段小小的树枝。

They may be produced for almost any shaft angle.

他们可能在制作中几乎任何一个轴角。