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Earthquake nucleation with strike slip fault was analyzed by means of the variational boundary integral method and slip weakening friction law.

利用边界单元法和滑移弱化摩擦本构关系分析了平移断层上地震的产生。

The basic equations of structure are derived from Hamilton variational principle and the constitution of material utilizes the increment theory.

基于Hamilton变分原理导出圆柱壳的运动方程，本构关系采用增量理论，借助增量数值算法求解动力方程组。

Hybrid Dynamic; time-varying systems; finite horizon; optimal control; Quasi-Variational Inequality; viscosity solution; lower semicontinuous solution; uniqueness; Dynamic Programming; Viability Theory; inventory systems; mathematical model; proximal subdifferential; parabolic equation; nonlinear boundary

基础科学，数学，控制论、信息论混合动态；时变系统；有限时间；最优控制；拟变分不等式；粘性解；下半连续解；唯一性；动态规划；生存定理；库存系统；数学模型；邻近次微分；抛物型方程；非线性边界

Simulation results show that variational velocity integral PID can solve supercalender velocity drop better and improve system control efficiency.

仿真结果表明，变速积分PID能较好地解决超级压光机速度跌落问题，使系统控制效果得到很好的改善。

Variational problems which are invariant under the actions of symmetric group often possess multiple solutions e.g.

根据Ljusternik-Schnirelman理论，在对称群作用下不变的泛函具有多解（见［1-6］等）。

In this paper we separate the Hamiltonian into three parts: a spherical symmetry Hamiltonian; a z-component of the angular momentum operator, and a non-spherical symmetric potential as the perturbation operator, and provide a propose method by separating the potential containing squared magnetic field B^2 into two parts spherical symmetric and non-spherical symmetric ones so that the first-order energy correction due to the non-spherical symmetric potential is zero, and the second-order correction due to B^2 can be obtained by a simple variational method.

采用变分法和微扰法相结合的方法，把高强度磁场中氢原子的哈密顿H分为三部分：球对称哈密顿；z分量角动量算符相应部分和非球对称势微扰，并用一种特别规定的分解法将哈密顿H中含磁场平方项的势能分解为球对称与非球对称两部分，且使非球对称部分引起的一级修正能量值为零，并采用一种简便的变分法直接求出B^2对能级的二级修正值。

With the application of the Pro-Hellinger-Reissner variational principle, dual equations in the symplectic space are yielded to present an analytical method for the bending of annular sector plates.

然后应用类 Hellinger-Reissner变分原理，导出了辛几何空间的对偶方程，从而将环扇形薄板弯曲问题导入到辛对偶求解体系。

In this paper,some characterizations of solutions for a system of vector variational inequalities are derived under the a.

该文研究了一类向量变分不等式组，在PPM条件下，对其解进行了一些刻画此外，给出了该向量变分不等式组的一个间隙函数，并在强单调条件下，证明了它是弱尖极小的。

By using the projection method, we prove the existence and uniqueness of solutions for this new system of generalized variational inequalities.

在本文中，我们首先引入了一类新的关于松弛协强制映射的广义变分不等式组，通过用度量投影的方法，我们证明了这类广义变分不等式组解的存在性和唯一性。

In Chapter 7, we consider the numerical solution of system of mixed nonlinear variational inequalities in Banach space. The definition ofη—proximal mapping for a proper subdifferentiable functional is introduced.

我们先引入适定次可微泛函的η—逼(来源：ABCa776论文网www.abclunwen.com)近映射的概念，利用η—逼近映射的性质，提出了求解SMNVI的一些迭代算法，并证明了算法的收敛性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。