查询词典 existence theorem of implicit function

Under the suitable hypotheses of compactness,convexity,and semicontinuity,an existence theorem of the weak efficient solution for the convex-like vector equilibrium problems is established.

向量变分不等式与向量均衡问题的重要课题之一是研究其解集的连通性，因为它保证了解可连续的移动。

Then based on this theory and the concept of local controllability, a series of existence conditions for the asymptotic state observers of 2DGM are proposed. These conditions are analogous to the corresponding well-known results in 1-D case. Finally the related design methods and the 2-D separation property theorem are also presented.

在此基础上，借助于局部能控性概念，建立了一系列十分类似于1-D情形的观测器的存在条件，从这些存在条件出发也可以得到相应的观测器设计算法，最后还得出了2DGM的分离性定理。

The public hospital groups feasibility analysis and the group government structure analysis introduced the basic content of modem company government theory, and thought the hospital group exterior government was most basic, and at the same time the most important constituent of the group management. By the means of Fisher separation theorem under complete capital market, it proved the importance of the organization existence and strict implementation, on which we proposed the best government structure of public hospital groups. And through the hospital group prestige model, it further explained the public hospital execution group management is the effective method to remold the public hospital property right, and to solute property right problem.

公立医院集团化的可行性分析及集团治理架构介绍了现代公司治理理论的基本内容，认为医院集团的外部治理是集团治理中最基本的同时也是最重要的组成部分，通过完备资本市场下的Fisher分离定理论证了，在公立医院的国有资产管理中代理机构存在和实施严格管理的重要性，提出了笔者设想中的公立医院集团的治理架构，并通过医院集团声誉模型进一步说明公立医院施行集团化经营是重新塑造公立医院产权主体、解决产权虚置问题的一种可供选择的有效手段。

By using the exist- ence result of VF- ICP and VF - IVIP with single - valued mappings and the continuous selection theorem due to Ding,Kim and Tan, solution existence for GVF- ICP and GVF- IVIP is derived under suitable assumptions.

通过具单值映象的向量F-隐补问题和向量F-隐变分不等式问题解的存在性的研究和使用Ding，Kim和Tan的连续选择定理，在适当假设下证明了CVF-ICP和GVF-IVIP解的存在性，推广了其他人的结果。

In this paper,we discuss the existence of positive solution for singular positive boundary value problem of second order differential equations by using a general cone fixed point theorem .

利用一个普通的锥不动点定理研究了二阶奇异非共振边值问题正解的存在性。

In this paper,we introduce the concepts of efficient solution for vector variational inequalities and f-quasimonotone operator,and give an existence theorem for vector variational inequalities in Banach spases.

引进了向量变分不等式有效解以及f－拟单调算子的概念，并给出了Banach空间中拟单调向量变分不等式的有效解的存在性定理

By regarding the forest-sum growth-cutting rate as the control variable and judging its optimality by "norm minimum", we have given a existence theorem of the optimal control for the area distributing systems of forest trees by utilizing space L2(0,T)'s reflexivity, smoothness and strict convexity.

本文将林木总和长消率作为控制变量，以"范数最小"来衡量其最优性，利用空间L2（0，T），T＞0的自反、光滑和严格凸性，给出了森林面积分布系统最优控制的一个存在性定理。

In the first part, we will first deal with the strong Bonnesen-style inequality (2.1.3) for closed convex curves in the plane (the numbers of formulae and references are those of them in the context below). Bonnesen had first proved the weaker inequality (2.1.2) in [12] and several years later, he outlined in his monograph [13] various Bonnesen-style inequalities including (2.1.3), he considered, however,(2.1.3) as a direct consequence of Kritikos theorem for convex bodies in higher dimensional Euclidean spaces,. Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane.

具体地讲，在第一部分中，首先讨论平面上闭凸曲线的强Bonnesen型不等式(2.1.3)(公式的编号和参考文献的编号引自后面的正文)，Bonnesen在文[12]中先证明了较弱的不等式(2.1.2)，几年以后，在他的著作[13]中，讨论了多种Bonnesen型不等式，其中包括不等式(2.1.3)，不过，他把(2.1.3)作为高维欧氏空间中凸体的Kritikos定理的直接推论，我们这里对不等式(2.1.3)给出独立的存在性证明，并且还对平面闭凸曲线的bi-enclosing环的宽度给出了一个估计。

Thirdly, proper probabilistic model is built for the bilateral stop-and-go generator and the probability properties of its output sequence are studied. It is proved that the output sequence obey strong law of large numbers and central limit theorem and that, however, the distributions of 0 and 1 in the output sequence are imbalanced, which implies that this generator cannot be used as keystream generator directly. The rate of coincidence between the output sequence and corresponding LFSR sequences, together with their first derivatives are obtained, which reveal the existence of correlation between these sequences.

最后，建立了双侧停走生成器的概率模型，研究了双侧停走生成器输出序列的概率分布性质和大数性质，证明了生成器输出序列服从强大数定律和中心极限定理，得到了生成器输出序列中0，1分布是不平衡的结论，由此指出不能将这种生成器直接作为密钥流生成器；给出了双侧停走生成器输出序列和相应的线性移位寄存器序列之间的符合率以及一阶差分序列之间的符合率，得到了符合率的表达式，揭示了这些序列的对应比特和对应序列段之间存在相关性。

Shen prove a short time existence theorem for manifolds with umbilical boundary. He also derived the Simons' identity for the boundary under the Ricci flow. And as a corollary, Shen show that any three-manifolds with totally geodesic boundary which admits positive Ricci curvature can be deformed to a space form with totally geodesic

而带边流形上的Ricci流的研究始于Shen，在1996年，Shen在中考虑带边三维流形上的黎曼度量的Ricci形变，证明了如果初始三维流形的黎曼度量具有正Ricci曲率和全测地边界，则此三维黎曼流形上存在着常正曲率的黎曼度量。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。