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A linear-quadratic differential game model based on the theory of differential games in military field is constructed,and then,a solution for its open-loop equilibrium strategy is given and an application of the solution in an arms race is given.

以微分对策在军事领域中的应用为背景，建立一类线性二次型微分对策模型，讨论其开环均衡策略解法，将其运用到一个具体的两国军备竞赛的模型中。

The main contents include: Setting up a theoretic vibration decreasing model of ERSFD and deriving its differential equation; Analyzing and comparing the features of ERSFD, SFD and Porous Squeeze Film Damper , and finding out that SFD and PSFD are the special examples of ERSFD; Giving an over-relaxation differential algorithm for the solution of the oil film force of ERSFD; Deriving the differential equations of the elastic ring deformation with and without tension and solution method.

给出了求解ERSFD油膜力的超松驰差分迭代格式和算法。

Under the same pressure gradient, the seepage velocity of leaching solution well increases with the intensity of positive electric field, and decreases with the negative electric field. The seepage diffusibility of leaching solution and its wetting ability to fractured rock mass can be enhanced or weakened by the electric field.

在同等压力梯度下，受地电场作用的裂隙岩块中溶浸液渗流速度随正向电场强度增加明显增大，随反向电场强度增加明显减小；地电场能够强化或者减弱裂隙岩块中溶浸液的渗流扩散能力和溶浸液对岩块的润湿作用。

The rheological characteristics of sol solution have been studied. It turns out that the relation of viscosity with temperature can be expressed by the relation μ=μ〓exp , and that the solution's rheological characteristics during the sol—gel transiton are as follows: at first the dilatant fluid changes to Newton fluid, then to pseudoplastic, and finally to gel.

本文对溶胶溶液流变特性进行了研究，结果表明：温度对粘度的影响可用Arrhenius方程来表示；随放置时间的增加，溶液由膨胀型流体向牛顿型流体转变，再向假塑性流体转变，最后成为凝胶。

However, Diophantus\' solution is strictly algebraic, unlike the quasigeometric Babylonian solution.

但是，丢番图的解是严格代数的，而不像巴比伦人的解是拟几何的。

Inhomogeneous hyperbolic conservation law; viscosity solution; weak solution; entropy-entropy flux; maximum principle; Young measure; Dirac measure; compensated compectness

基础科学，数学，数学分析非齐次双曲型守恒律；粘性解；弱解；熵-熵通量；极值原理； Young测度； Dirac测度；补偿列紧理论

Based on the table of matrix element of spectrum decomposition, the Helmhotz matrix can be decomposed by recursion of the direct solution. A numerical comparison has been made with the spectrum LU decomposition and direct solution.

通过与谱法分解和直解法在分解精度和分解速度两方面的比较表明，本文方法与谱法相比，在非均匀介质中亥姆霍兹算子矩阵分解时的精度提高10倍；在计算速度方面，混合方法比简化后的直解法快。

The solution of some practical problems in engineering can be regarded as that of periodic solution of nonlinear autonomous systems according to the opinion of mathematics, The problems of this kind are analysed by means of the direct numerical method in this paper,The simple and convenient Draw Newton Method is applied for solving the parameter vectors in iteration course along with the calculation of a practical engineering problem.

日I崖旨J，'口工程中的一些实际问题往往可以归结为非线性自治系统，例如描述同步发电机暂态稳定性问题的转子摇摆方程，即是一典型的非线性自治系统。虽然可以用各种小参数摄动法求解非线性系统，但是这类方法是依据对线性系统的解进行"摄动"来逼近非线性系统解的。因而当系统

Apparently, the approximate controllability doesn"t hold for generally linear parabolic equations with bounded control. It doesn"t hold for the semilinear heat equations presented there,either. Then, it is proved by analyzing its" solutions that no matter how long the time T is , there are targets that can"t be approximated by the solution of heat equation with Dirichlet boundary conditions;If a given target satisying certain conditions can be reached by the solution of heat equation .

本文先针对两个具体的半线性热方程系统证明了控制加约束后系统是不能控的；然后通过分析方程的解，对带位势及Dirichlet边界条件的热方程系统，无论时间多大，都存在不能控的目标；文中还证明了满足一定条件的目标可达。

Secondly, the solution of the dirichlet's problem is given in semiexplicitformula, and under the special case the exact solution is obtained.

文章所论内容属当今数学的前沿问题，文章较好的解决了某些特定情况下的复杂问题，具有较高的理论意义和学术价值。

The role of the environment is very important.

的作用，环境是非常重要的。

At that time, the High Court of England and Wales Court of Queen's Bench president of William Murray, Lord Mansfield in June 22, 1772 ruling:"No matter then there is the inconvenience, but there must be a decision, I can not say that this case under the law in England are permitted or authorized; are so black should be released."

当时的英格兰及威尔士高等法院王座法庭院长William Murray， Lord Mansfield于1772年6月22日宣判：「无论有那麽不便，但总要有个决定，我不能说这件案在英格兰法律之下是准许或认可；所以黑人是应该被释放。