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According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

In the third part of the paper, another novel technology, named as Mould Oscillation-less Electromagnetic Continuous Casting under AMMF was proposed in order to replace the huge mechanical mould oscillation system by AMMF imposing outside the mould in continuous casting.

进行了三种波形高频调幅磁场下的无结晶器振动电磁连铸初步实验研究，实验结果表明：在方波、三角波和正弦波调幅磁场作用下的无结晶器振动电磁连铸过程中，当调制波频率略低于系统固有频率时，弯月面与结晶器壁间断接触距离最大。

In part 3, utilizing the existing Lipschitz results and the property of Yosida approximation of monotone and continuous function, we prove the existence and uniqueness theorem of a general backward stochastic differential equation with monotone and continuous coefficient.

第三部分在系数仅满足单调连续这样一个新条件下，我们综合运用单调连续函数的Yosida逼近的性质以及Lipschitz条件下的已有结果，证明了一般形式的倒向随机微分方程解的存在唯一性。

For, in the first place, there is verified a continuous definitive multilocation, called also replication, which consists in this, that the Body of Christ is totally present in each part of the continuous and as yet unbroken Host and also totally present throughout the whole Host, just as the human soul is present in the body.

为，摆在首位，有验证连续确切multilocation ，所谓还复制，它在这方面，即基督的身体是完全存在于每一个部分的连续和仍未间断的东道国也彻底，目前在整个东道国，正如人的灵魂是存在于人体。

Mungo ban the use of modern enterprise management mode, through continuous exploration and development, has set up marketing, new product development, product processing center, product distribution centers, product after-sales service centers, human resources, such as the Department of relatively perfect operating department so that the continuous development of the company's business.

蒙戈班企业运用现代管理模式，通过不断的探索和开拓，先后成立了市场营销部，新产品开发部，产品加工中心，产品配送中心，产品售后服务中心，人才资源部等比较完善的运营部门，使公司业务不断发展。

In the first class there is a distinct linear region in the initial portion of the stress-strain curve corresponding to stage I in the continuous fiber composites, followed by a parabolic stress-strain curve, corresponding to stage Ⅲ in the continuous fiber composites.

在应力—应变曲线的初始部分中，第一级是一明显的线性区域，与连续纤维组织的复合材料的第一部分相对应，接下来被比喻成应力—应变抛物线，与连续纤维组织的复合材料的第三部分相对应。

On the basis of the conservation equation of continuous medium and in combination with mechanics of fluid through porous media and the heat transfer theory in porous media, conservation equations in porous media (continuous equation, momentum equation and energy equation ) are derived, When constructing the downhole temperature model, heat transfer in a wellbore is considered as the heat transfer in a vertical tube, the flow in a wellbore considered as sufficiently parallel flow, heat transfer in injection zones considered as heat conduction and convection in porous media, the flow in injection zones considered as flow through porous media, heat transfer in adjacent rocks considered as heat conduction in porous media.

在建立井下温度场模型时，把井筒的传热看作是竖直圆管中传热问题，把井筒的流动看作是充分发展的层流流动；把注入层中的传热看作是多孔介质中导热和对流的传热问题，把注入层中的流动看作是渗流；把围岩中的传热看作是多孔介质中导热问题。

In this paper, in cognizance of the lack of accuracy of the calculation results in the current method of seismic analysis for the frame structures, the paper is searching for a new approach, using continuous models and through the establishment of the partial differential equations to carry on the dynamic analysis of the fiame structures, the limited units will be expanded to the unlimited units, each component as a continuous unit to deal with without the need of further subdivision, making the structure of dynamic behavior closer to the actual behavior and to improve the accuracy of the results.

本文针对当前框架结构抗震分析的动力时程法计算结果不精确的不足，寻求一种采用连续模型并通过建立偏微分方程来对框架结构进行动力分析的新方法，把每个构件作为一个连续单元来处理而不需要再细分，使得结构的动力行为与实际更为接近，从而提高计算结果的精度。

After moving into ICU, former diseases,invasive testings and treatments, daily nursing, long-term immobilization can causepain to the patient; continuous noisy, continuous surrounding light, various stimuli,sleep disturbances, worry about his own disease can cause anxiety to the patient;extreme anxiety, pain, phrenitis, side effects of drugs or interaction of drugs, anoxia,low blood pressure, low blood glucose, drug or alcohol withdrawal response cancause mania, which all can result in strong stress response, human-machine resist,removal of devices and canals involuntarily.

病人进入ICU后可因原发疾病、侵入性检查与治疗、日常护理、长期制动等因素导致疼痛；可因持续噪音、持续的周围灯光、各种刺激、睡眠干扰、对自身疾病的担心等因素导致焦虑；还可因极度焦虑、疼痛、谵妄，药物的副作用或相互作用，缺氧、低血压、低血糖等生理紊乱，酒精或药物的戒断反应等因素导致躁动。

Then, with the assumption that the consumption of an investor is the continuous or piecewise continuous function of time, the corresponding optimal investment decision and the effective frontier are derived by using the stochastic linear-quadratic control.

假设投资者的消费是时间的连续函数或者分段连续函数，应用线性二次随机控制的方法得到了这两种情形下的最优投资决策和有效前沿。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。