不等式

: Absolute value, inequality, absolute value inequality, analytic method."

中文关键词：：绝对值，不等式，绝对值不等式，分析法。

Some nonexistence results for p-degenerate sub-elliptic first order evolution inequalities associated with the generalized Baouendi-Grushin vector fields are given. The method is an improvement of the admissible function method in Euclidean space. The proof hardly depends on the properties of the generalized Baouendi-Grushin vector fields.

通过改进欧氏的容许函数法，应用广义Baouendi-Grushin向量场的一些性质，选取特殊的容许函数，利用Hlder不等式和Young不等式，证明了由广义Baouendi-Grushin向量场构成的p-退化次椭圆一阶发展不等方程，在适当条件下非平凡弱解的不存在性。

In the thesis , firstly the problem of static output feedback H∞control was explored for discrete time singular systems. Based on the generalized Riccati inequality and linear matrix inequality, necessary and sufficient conditions were obtained for the existence of static output feedback H∞controllers, which guarantees that the resulting closed-loop system is admissible with its transfer function matrix satisfying H∞norm constraint.

本文首先利用线性矩阵不等式和广义Riccati不等式，给出离散广义系统中存在静态输出反馈H∞控制器，使得闭环系统是容许的且其传递函数矩阵满足H∞范数约束的充要条件。

In Brunn-Minkowski-Firey theory, we establish two extremum properties of the new ellipsoid; Then we generalize Petty\'s affine projection inequality and monotonicity results related to affine surface area to L_p—affine surface area; We establish the Brunn-Minkowski type inequalities for the volume of the L_p centroid body and its polar body with respect to the normalized L_p radial addition. At last, we introduce the minimal L_p—mean width of a convex body and generalize the minimal mean width to the Brunn-Minkowski-Firey theory.

在L_p-Brunn-Minkowski理论中，我们首先给出了两个关于新椭球的极值性质；然后研究了L_p仿射表面积，将Petty仿射投影不等式和Winterniz单调性问题推广到L_p仿射表面积；建立了L_p质心体和其极体的Brunn-Minkowski型不等式；研究了凸体的最小L_p平均宽度，给(来源：3bABbeC论文网www.abclunwen.com)出凸体K具有最小L_p平均宽度的充分必要条件，最后给出了凸体L_p平均宽度位置的稳定性。

To one kind of variational inequalities, some researchers give an alternating direction method, which solve a linear variational inequality and a system of nonlinear equations in each iteration.

针对一类变分不等式，有研究者给出了一种交替方向法，在每一步迭代中分别要求解一个线性变分不等式和一个非线性方程。

Landau's type inequality has some contribution to approximation theory of function and theory of inequality.

Landau's型不等式在函数逼近论和不等式理论具有一定意义。

Based on the existence of the solution to a LMI, a sufficient condition is obtained under which the composite systems can be quadratically stabilized with a H〓 norm bound constant on disturbance attenuation for all admissible uncertainties and a necessary and sufficient condition is obtained using BMI.

采用线性矩阵不等式方法，给出了系统可鲁棒H〓分散镇定的充分条件；采用双线性矩阵不等式方法，给出了系统可鲁棒H〓动态输出反馈分散镇定的充要条件，并给出了算法。

Based on the idea of Greene and Pachpatte, we get the estimations of unknown functions by combining the Bernoulli inequality with generalized Gronwall inequalities.

我们沿着Greene和Pachpatte的思想，结合Bernoulli不等式和推广的Gronwall不等式，给出了未知函数的估计。

In this paper,the important method of R-r-s is used to establish two inequalities for the medians and angle-bisector s of acute triangles,and two inequalities conjectured are proposed and verified with the computer.

应用三角形不等式中重要的R-r-s方法，证明了锐角三角形的中线与内角平分线的两个不等式，提出了两个未解决的猜想不等式。

By using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established.

应用距离几何理论与解析方法，研究了一些单形体积之间的关系，建立了关于单形体积的一些新的不等式，作为其特例，获得垂足单形体积的一个不等式和单形的其他一些不等式。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。