弱函数

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。

Obconica were always higher than that of P. vulgaris. In the experiments of medicament treatment Membership Function was introduced to have a comprehensive evaluation on heat-resistance of P. obconica and P. vulgaris under five levels of fixed temperature. The results were as follows: P. obconica 30℃: The compages of SA 150 mg·L~(-1 and CaCl_21500 mg·L~(-1 can increase plant"s heat-resistance observably. 32℃: Using SA only 200 mg·L~(-1 can increase plant"s heat-resistance observably.34℃: The compages of SA 50mg·L~(-1 and CaCl_21500 mg·L~(-1 can increase plant"s heat-resistance observably.36℃: The compages of SA 50 mg·L~(-1 and CaCl_22000 mg·L~(-1 can increase plant"s heat-resistance observably.38℃: The compages of SA 150 mg·L~(-1 and CaCl_21000 mg·L~(-1 can increase plants heat-resistance observably.

运用隶属函数法对经过药物处理的两种报春进行综合评价，得出五个温度条件下各处理间耐热性的强弱，四季报春：30℃：150 mg·L~(-1)的SA和1 500 mg·L~(-1)的CaCl_2的组合对于提高四季报春的耐热性最好，其次是100 mg·L~(-1)的SA和1000 mg·L~(-1)的CaCl_2的组合处理；32℃：单一施用200 mg·L~(-1)的SA达到了最好的效果，其次是施用100 mg·L~(-1)的SA和1500 mg·L~(-1)的CaCl_2的组合，效果最弱的是单一施用500 mg·L~(-1)的CaCl_2；34℃：混合施用50 mg·L~(-1)的SA和1500 mg·L~(-1)的CaCl_2对于提高四季报春的耐热性效果最好；36 ℃：混合施用50 mg·L~(-1)的SA和2000 mg·L~(-1)的CaCl_2对于四季报春耐热性的提高效果最好，而单一施用100 mg·L~(-1)的SA的效果最弱；38℃：150 mg·L~(-1)的SA和1000 mg·L~(-1)的CaCl_2混合施用能有效提高四季报春的耐热性。

This thesis is concerned with the structure and behaviors of the waves of global weak entropy solutions for an initial-boundary value problems of scalar conservation laws with weak discontinuous flux function.

本文研究在流函数具有弱间断点的条件下单个守恒律初边值问题整体弱熵解的结构和波的行为。

At last the results have been applied to the tracking problem of a class of mechanical systems with discontinuous friction term. Chapter 3 mainly deals with uniformly ultimate boundedness of a class of nonautonomous systems with discontinuous right-hand sides and corresponding perturbed systems (in the sense of Filippov solutions). The definitions of globally uniformly strongly ultimate boundedness and globally uniformly weakly ultimate boundedness of discontinuous systems and the definition of globally equiuniformly strongly ultimate boundedness of corresponding perturbed systems are presented firstly.

首次给出不连续系统全局强一致最终有界、全局弱一致最终有界的定义，以及针对于扰动系统的全局强等度一致最终有界性的定义，并基于非光滑的Lyapunov函数得到了不连续系统全局一致强、弱最终有界的Lyapunov定理和扰动系统全局强等度一致最终有界性的Lyapunov定理。

The nonexistence of global weak solution to elliptic equation and the evolution equation, together with the nonexistence of local weak solution to hyperbolic equation is contained in this paper.

本文运用试验函数法研究了带有非局部源的偏微分方程的全局弱解的不存在性，内容包括椭圆方程、发展方程全局解的不存在性以及双曲型方程的局部弱解的不存在性。

From our results we know that the average error of the Lagrange interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes in the 1-fold integrated Wiener space equal weakly to the average error of their corresponding optimal approximation polynomial in the 1-fold integrated Wiener space,and as a kind of information-based operation,they have simple form and their recover functions are polynomials,in the 1-fold integrated wiener space,their average error equal weakly to the corresponding minimal information radius whose permissible information operators class is function values.

通过我们的结果可以知道，基于第一类Chebyshev多项式零点的Lagrange插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差弱等价于相应的最佳逼近多项式在1-重积分Wiener空间下的平均误差，并且作为形式简单且恢复函数为多项式的一种信息基算法，其在1-重积分Wiener空间下的平均误差弱等价于相应的以函数值计算为可允许信息算子的最小平均信息半径。

In the sense of weak effective solution,the problems of Lagrange duality and saddle point are discussed under the convexlike condition.An alternative theorem of the system containing a semidefinite constraint of a matrix function is established at first.

首先在似凸条件下建立了一个含矩阵函数半定约束系统的择一性定理，由此得到多目标半定规划及其在弱有效解意义下的Lagrange对偶理论，包括弱对偶、强对偶和逆对偶等。

First, the paper presents mathematically the existence of a solution in the weak formulation of SBV space.

首先在数学上指出了 MS泛函弱解在 SBV函数空间中的存在性，然后讨论了计算弱解的数值逼近方法。

In chapter 4, by AREELS, the Generalized Oscillator Strength Density Spectra were measured in the energy region from 56 to 66eV, with the incident energy 2. 5 keV and energy resolution 80 meV, at scattering angles from 0°to 6°, corresponding to the momentum transfer K〓=0.03~2. 01 a. u. The Fano profile parameters f〓 and q for the optically allowed transition 〓(0, 1)〓P°and the optically forbidden transitions 〓(1, 0)〓S〓and 〓(1, 0)〓D〓 were obtained as a function of K〓. With the hyperspherical coordinate wavefunctions, the dynamical correlation are discussed qualitatively. So, a new experimental way to study dynamical electron correlation effect is opened.In chapter 5, the widely used R-matrix theory was introduced. Then, the GOSDS for the optically allowed excitation series (1s〓)〓S〓→〓(0, 1)〓P°(n=2-4) were calculated by this method, and the Fano profile parameters f〓 and q were obtained sequently. So the electron correlation effect can be described by these parameters quantitatively, and the theoretical results were compared with our AREELS experimental results.

在第四章中，实验上，同样使用角分辨的高能量分辨快电子能量损失谱仪，在2.5keV电子入射能量和80meV的能量分辨下，测量了0°到6°散射角下的He原子双电子激发态在56~66eV的广义振子强度密度谱，这种情况，0°~6°对应的动量转移范围K〓=0.03~2.01a.u。，得到了光学允许跃迁的双电子激发态〓（0，1）〓P〓和光学禁戒跃迁的双电子激发态〓（1，0）〓S〓、〓（1，0）〓D〓的Fano线形参数f〓，q等随动量转移变化的曲线；观测到了几个强度很弱、能级很窄的光学允许和禁戒跃迁双电子激发态，用前人准确的理论结果进行了标识；通过比较弱共振〓（1，0）〓S〓和〓（-1，0）〓S〓的强度随动量转移K〓的变化规律，结合超球坐标理论计算的波函数，定性地阐述了在电子碰撞散射过程中它们各自不同的动力学电子关联效应，发展了一套在实验上研究电子关联效应的新方法。

Under weaker conditions(without theirhomogeneous conditions,monotonic inequalities and Lipschitz conditions)than that which Iwaniec and other people imposed on some specialsystems(quasi-regular mappings),using Hodge decomposition theoremto construct testing function,after a series of complicated calculation,weobtain the same regularity results as them to a more general non-linearelliptic systems(2):under certain conditions,the very weak solutionsto non-linear elliptic systems(2)are weak solutions.

对一般的方程组（2），我们减弱了Iwaniec等的齐次性条件、单调不等式以及Lipschitz型条件，利用Hodge分解定理来构造试验函数，并进行了一系列复杂的计算，在没有Lipschitz型条件的情况下，也得到了与itz型条件的情况下，也得到了与，即在一定的条件下，方程组（2）的很弱解是弱解。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。