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In some real-world problems, the mapping of the variational inequalities does not have any explicit forms and only the function value can be evaluated or observed for given variables.

现实世界中，变分不等式问题中的映射没有具体表达式而只能在计算过程中对给定的自变量观测到相应的函数值。

Then we apply the above results to discuss the density of extremal points in the variational principle.

随后应用上述结论讨论变分原理中端点的稠密性问题。

A new kind of exceptional family of elements is introduced for a class of mixed variational inequality problem in a Hilbert space.

本文对Hilbert空间中的一类混合变分不等式引入了一种新的元素例外族。

We prove that if there does not exist an exceptional family of elements for continuous function f, then the corresponding variational inequality has a solution.

通过提出了一个新的例外簇概念，证明了变分不等式或者有解，或者对任意的〓∈K，有关于〓的一个例外簇。

At first, basing on the boundary value problem concerned with fluid-composite structure interaction and characteristic of acoustic wave radiation, a generalized Hamilton variational principle is derived, and the equations of motion based on the finite element method is also derived.

首先，从复合结构与流体相互作用问题的有关混合边值问题出发，针对声波辐射特点，推导了一种广义形式的Hamilton原理及有限元形式的运动方程。

By using a first integral particular solution of variational equations is obtained and an example is given.

给出相对论自治 Birkhoff系统的变分方程，研究它们的解，并利用第一积分得到变分方程的特

Using the first order shear deformation theory for plate and mechanical-electro coupled variational equation, the two dimensional dynamic finite element formulation containing the effect of pressure in the cavity was derived.

数值分析了在不同的结构和声腔共振频率下主动控制效果，结果表明通过合适地布置压电片，能够很好地控制腔体的声压与位移。

A rectangular finite element for laminated plate with bonded and/or embedded piezoelectric sensors and actuators is developed based on the variational principle and the first order shear deformation theory.

基于变分原理和一阶剪切理论，本文建立了一种新的机电耦合矩形有限单元，该单元具有四个节点20个位移自由度，电自由度为单元中的压电铺层层数。

We prove that the existence and uniqueness of solution of the system of generalized nonlinear variational inclusions by using the fixed point theorem.

运用不动点定理，我们证明了广义非线性变分包含组解的存在性与唯一性。

Firstly, the author establish the functions of stability on the basis of the spline function method ,according to the theory of geometrical nonlinear and the theory of stability, educe the stability equation of structure based on variational principle, then carry through the flexuosity analysis of CFST arch.The big distortion geometrical nonlinear was considered by the stability equation,the author simplified the problem of geometrical nonlinear through ignored quadratic term and reserve the simple term, at last boiled down to solve the linear stability equation of eigenvalue .

利用样条函数方法、根据几何非线性变形理论和结构稳定性理论，先建立起结构稳定的泛函，再由变分原理导出结构的稳定方程，进行钢管混凝土拱屈曲分析；本文所建立的稳定方程考虑了几何非线性的大变形效应，通过忽略几何非线性的二次项，保留一次项，将几何非线性问题简化，最后归结为求解线性稳定问题的特征值稳定方程，建立了结构非线性静力稳定性问题的新算法及失稳类型判别准则。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。