解空间

In the functionally graded elastic half-space and the functionally graded covered layer, the motion control equations for the antiplane shear wave are solved, the analytical solutions for displacement and stress are obtained, and with these analytical solutions, the dispersion equation of Love wave is obtained.

对功能梯度弹性半空间和功能梯度覆层的反平面剪切波的运动控制方程进行了求解，给出了半空间和覆盖层的位移、应力解析解，给出了Love波在该解析解下的频散方程。

In Section 1, without assuming operators to be continuous and cones to be normal, we use the Monchs compactness condition to study the existence and iterative approximation theorem of solutions and coupled minimal and maximal quasi-solutions for a class of nonlinear operator equations x = Ax, x under more extensive and weaker conditions than those used in [18] in ordered Banach spaces.

践一节中，利用M加ch的紧性条件，在比文献［18］更广泛的较弱的条件下，在不假潞子连续和拄酬的前提下，研究了Ball''crl空间中一描F线腑子方程X—川巳F）的解和最小最大耦合解的存在与迭代跳定理，并应用到Ban呐空间中非线性VOlterra型积分方程和常徽分方程的初值问题。

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程，发现在时滞等于零时该正平衡解是渐近稳定的，当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法，分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性，具体内容如下： 1。

And for multi-dimension the conditions of the problems with sufficiently regular and star-shaped domain are also given, which have no solutions in Sobolev space.

给出了在空间维数为一时所论问题有无界解的条件，以及在高维空间时，区域充分规则和星形情形下，所论边值问题在Sobolev空间无解的条件。

The problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is aLipschitz continuous single-valued mapping on whole space.

利用冲一预解算子分析了有限维欧氏空间中的广义参数集值变分包含问题唯一解的灵敏性；利用预解算子分析了有限维欧氏空间中的一般参数集值变分包含问题解集的灵敏性。

Uniqueness of solution for generalized variational inequality related to strongly monotone Lipschitz mapping is shown. A sufficient condition is presented on the connectedness of solution set for the weak vector variational inequality on which the mapping is from a topological vector space X to L , where Y is also a topological vector space. The result is derived by discussing the properties of set-valued mapping induced by solution set of a scalar variational inequality related to the weak vector variational inequality.

利用拓扑向量空间到连续线性映射空间L的映射的弱向量变分不等式和与之相关的标量型变分不等式解集的关系，得到标量型变分不等式解集所表征的集值映射的特性和弱向量变分不等式解集的连通性条件。

System computes combined navigation system of GPS/IMU, VECTOR and ascendable geometry stable platform, proceeds in space registration and time synchronization, calculates the systems accurate space, time, stance and course. Planar laser scanning data was filtered, registered space-wisely and time synchronously and fuse computered with other sensors data, extracted to 3D solid model of characteristic information of the road and outside of street, continuously extracted to point, line and plane, reconstructed combined with CCD camera data and visualized to 3D model true scene, finally implement acquisition and process of 3D space data timely, initiatively and integrally.

该套系统通过对GPS/IMU组合系统导航解算、VECTOR和升降几何平台进行空间配准、时间同步处理，计算出系统精确可靠的空间时间和姿态航向信息，二维激光扫描仪数据经过滤波去噪、和其他传感器数据融合、三维空间计算，解算出道路和两侧街景的三维空间数据模型，对空间激光数据模型提取点线面特征值，结合CCD相机数据进行立体重建和可视化，实现了实时、主动、完整地获取和处理三维空间数据信息。

System computes combined navigation system of GPS/IMU, VECTOR and ascendable geometry stable platform, proceeds in space registration and time synchronization, calculates the system??s accurate space, time, stance and course. Planar laser scanning data was filtered, registered space-wisely and time synchronously and fuse computered with other sensor??s data, extracted to 3D solid model of characteristic information of the road and outside of street, continuously extracted to point, line and plane, reconstructed combined with CCD camera data and visualized to 3D model true scene, finally implement acquisition and process of 3D space data timely, initiatively and integrally.

该套系统通过对GPS/IMU组合系统导航解算、VECTOR和升降几何平台进行空间配准、时间同步处理，计算出系统精确可靠的空间时间和姿态航向信息，二维激光扫描仪数据经过滤波去噪、和其他传感器数据融合、三维空间计算，解算出道路和两侧街景的三维空间数据模型，对空间激光数据模型提取点线面特征值，结合CCD相机数据进行立体重建和可视化，实现了实时、主动、完整地获取和处理三维空间数据信息。

The error of a surface on the electrical potential distribution can be neglected when the order of the distance which from center to the surface we assume the potential decay to zero about 102 of its radius. This effect also can be neglected when the potential is high, but it can be taken into account by multiplying a correction function to the potential of surface when the surface potential is low.

并且当表面电位较高的时候，近似解析解对於空间电位的分布会有较好的描述，即和数值解的结果会有较少的误差；而在表面电位较低的情况下，圆柱座标以及球座标的近似解可以乘上一个校正函数来修正，则可以有效的大幅降低误差，更可以正确的描述胶体粒子内部的空间电位分布。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失