查询词典 initial condition

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

However, with the increasing of the initial constraint condition or the optimization time interval, CNOP has less localized structures than the corresponding SV, What's more, the wave train structures may even be found in the whole zonal direction in the northern hemisphere.

c个例研究表明，在能量范数意义下，当SV在某一优化时间还没有促进纬向流向阻塞流转型的时候，CNOP可能导致了阻塞的爆发。

In addition, the study area can be layered vertically and decomposed horizontally by the properties of the soil and then the inte rfaces of every layer and region are connected by proper physical condition. So the initial and boundary value problem is well posed .

模式模拟时可依土壤之性质将整个模拟区域做垂直方向分层与水平方向分区之处理，计算时层与层之间、区与区之间再以适当之物理连接条件连接，使其构成一适当之问题。

The research progresses in degradation technologies of benzene or some of its derivatives in water are reviewed.The macroscopical reaction mechanism of HNO2(NO2-)and C6H5Br in aqueous solution has been studied.Different influence factors have been discussed,including different pH condition,initial concentration,irradiation time,different anions and the optimization of experimental conditions.By using liquid chromatography,the degradation rate of bromobenzene has been qualitatively analyzed.The concentration variations of Br~and NO2- have been analyzed by using ion chromatography.

本文介绍了苯及其衍生物对水环境所造成的污染和危害，研究了365nm光照下HNO2(NO2-)与C6H5Br混合溶液的宏观反应过程，初步考察了混合体系中溴苯的降解及衰减行为，较为系统地探讨了影响溴苯降解过程的各种影响因素，包括溶液的pH值、初始浓度、光照时间、不同离子的影响以及实验条件的优化，并利用液相色谱法进行定量研究溴苯的降解率，利用离子色谱法分析检测实验过程中溴离子和亚硝酸根离子的变化。

When the burring process of 12×4J wheel is processed taking the deformation area as the plane stress condition,the deformation characteristics of normal and radius directions are studied,which is influenced by the factors such as height and the inner hole initial radius and the deformation law of circle strain.

利用斜冲模对12×4J轮辐进行翻边时，将变形区看做是平面应力状态，探讨了翻边高度、初始孔径及斜冲模角对翻边变形区径向应变和轴向应变的影响，对12×4J轮辐翻边不同斜冲模角下的冲压力变化规律进行了计算。

It's the initial of modern chinese fiction, the style norm of fiction has not formed. This brings authors with free creative spirit condition, but in another hand, with casuality.

这一方面给作家带来无拘无束、自由创造的心态，另一方面也使许多作家创作时过于随意，使得小说与其它文体产生边界难以区分的文体融合。

Under the condition of small strain, the initial value of shear modulus increased along with the increment of angle θ between trail stress paths and recent stress history. If the two directions were entirely reverse, the effect of stress path circumgyration on shear modulus was the largest; if they coincided completely, the effect was very feeble.

研究表明，在小应变范围内，剪切模量的初始值随试验应力路径与近期应力历史间的夹角θ的增大而增大，当两者完全相反时，应力路径旋转对土体在小应变条件下的剪切模量影响最大；完全一致时，其影响最弱。

The results show that: On the condition of this paper (1) The initial collision between two continents would cause the tectonic average stress near the collisional point to increase by 5-9 times as compared with regional stress field.

集中程度受碰撞方式、接触面积等因素影响。在本项目采用的模拟条件下，大陆碰撞初期产生的构造平均压力在碰撞点附近，相对于边界压力增大了5～9倍。

This rapid continuous inversion method utilize well logging curves to delaminate formation,and integrate auto-delaminate and human-computer interaction delamination to provide reliable initial model for iteration inversion calculation,and in the same time apply resistivity comparison and gamma as the constraint condition to reprocess the data from the inversion, all these improve the precision of this inversion and get the logical resistivity curves of both filter layer and impervious bed.

快速连续反演方法利用测井曲线划分地层，进行自动分层与人机交互分层相结合的方法，为迭代反演计算提供出可靠的初始模型，同时应用电阻率比值、自然伽玛作为约束条件对反演得到的数据进行约束后处理，提高反演的精度，得到合理的渗透层和非渗透层的电阻率曲线，并在理论地层模型和实际测井模型中均进行了测试。

Die to the vertical dynamic characteristic is connected with the initial position and deformation of the mesh pads,so vibration performance under different operating condition is analyzed dentally.

由于减振器垂直方向动态特性与下网块的初始位置及变形有关，因而详细分析了减振器在几种不同工况下的振动特性。

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。