查询词典 existence theorem of implicit function

The dissertation begins with the investigation of the fruitful research on function of debt governance in developed countries such as UK, US, Japan and Germany, and attempts to fill some important gaps in our understanding of inefficient investment controlling function, bankruptcy threat function and function of creditor's participating in corporate governance; Second, Theoretical and empirical study is done on whether three functions of debt governance can work well in state-owned listed companies. The result shows that so far the function of debt governance can't work well as expected; Third, after examining the special institutional background of China, the dissertation argues, grounded on the research results, that the essential institutional reasons include creditors and debtors being "quasi" market participants, the "quasi-equal" debtor-creditor relationships and the "quasi" market rules; Finally, it comes to the conclusion that the fundamental methods to change the situation are to encourage the supervision of banks, to deepen the reform of state-owned companies and to fulfill the outside institutional requirements for guaranteeing the function of debt governance.

文章首先借鉴英美、日德等发达国家对债权治理功效的已有研究成果，总结归纳出负债抑制非效率投资功效、负债的破产威胁功效以及债权人直接介入公司治理功效；其次，分别对三大债权治理功效在我国国有控股上市公司中能否发挥作用进行理论解析和实证检验，研究发现，目前我国企业债权治理功效不能发挥应有的作用；再次，针对研究结论，从我国特有的制度背景出发，分析其症结，认为我国目前的债权债务双方的&准&市场主体、债权债务双方的&准&平等关系、&准&市场游戏规则是导致债权治理功效不能发挥作用的根本制度原因；最后，提出解决对策，认为增强银行的监督激励、深化国有企业的改革以及实现债权治理功效的外在制度要求是债权治理功效发挥作用的根本途径。

The existence of solutions to a type of nonlinear ordinary differential equations four-point boundary value problems with p-Laplace operator was studied by means of the extension of Mawhin s continuation theorem with sufficient conditions obtained for the existence of solution.

利用Mawhin连续引理的推广形式，研究一类具 p-Laplace算子的非线性常微分方程四点边值问题解的存在性，得到了方程解存在的充分条件。

Transforming the boundary value problem with p-Laplace operator into operator equation, giving propriety conditions for different value of p,and using an extension of Mawhin s continuation theorem,the existence of solution of a boundary value problem with p-Laplace operator is proved, and the sufficient conditions for solution existence are obtained.

将具p-Laplace算子的边值问题转化成算子方程，对于p的不同取值给出适当的条件。利用Mawhin连续引理的推广形式，证明了一类具p-Laplace算子的微分方程边值问题解的存在性，得到了一系列解存在的充分条件

From Poisson matrix, we can observe volume-preserving vector fields. By using Geiges-Gonzalo's existence of contact circle Theorem [3] , we show the existence of volume-preserving circle on3-manifolds which says that every3-manifold admits two linear independent vector fields preserving a same volume form.

通过Poisson矩阵可以观察出保积向量场，再利用Geiges-Gonzalo的接触圆存在性定理[3]，我们证明了保积圆的存在性：每个闭的3-流形上都存在两个处处线性无关的保积向量场并且它们的常系数线性组合仍是保积向量场。

Furthermore, the proof of correctness of CalcCycleTime is also the proof of the existence of cycle time, the existence of generalized eigenvectors, and the duality theorem.

本论文中给出的CalcCycleTime算法的正确性证明同时是周时存在性、广义特征向量存在性和对偶定理的证明。

By employing the theorem on existence and uniqueness of solutions, the existence and uniqueness of path is proved. A method of solving ordinary differential equation systems is proposed to get the trajectory of SVM solutions.

利用微分方程组的存在唯一性定理，我们得到了路径的存在唯一性，并给出了一种常微分方程组的近似解法求解SVM解的路径。

In this paper,we consider the existence and uniquness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners, i.e problemFor smooth boundary,we use potential theory to transform the problem into second kind boundary integral equation ,and use Fredholm alternative theorem,we obtain the existence and uniqueness of Dirichlet problem.

在本文中，我们考虑边界含尖点的有界区域上Helmholtz方程△u+k~2u=0的Dirichlet问题即问题与问题解的存在及唯一性。

The existence of the radially classical solutions with Dirichlet boundary value in unit ball was investigated. Based on perturbation technique, topological method and comparability theorem, the existence of the radially symmetric solutions for the generalized mean curvature equations with proper presupposition was established.

在单位球内考虑广义平均曲率方程组具有Dirichlet边值条件的径向古典解，运用摄动技巧、拓扑方法及比较原理，在一个适当的条件下，证明了广义平均曲率方程组径向对称解的存在性。

The condition for the existence of positive elliptic periodic solution was found using Floquet theory; and the theorem of the existence of positive elliptic periodic solution was proved by the method of upper and lower solutions and homotopy invariance theory of topology degree; then an example was given.

利用Floquet理论得到了该方程的正椭圆周期解存在的条件；然后利用上下解方法和拓扑度的同伦不变性理论，证明了该模型正椭圆周期解的存在性定理，并进行了实例验证。

By increasing the condition of the integral mean value theorem,we prove that the existence of intermediate point and the existence of interval are corresponding to each other.

给出了积分中值定理的一个注记，证明了中值点的存在性与覆盖中值点的区间的存在性是相互对应的。

Objective To investigate the relationship between ovum fertilization rate and sperm morphology, acrosome reaction in IVF and to explore the influence of parameters of sperm on fertilization rate.

目的 研究体外受精(in vitro fertilization，IVF)中精子形态、顶体反应与卵子受精率之间的关系，分析精子各参数在IVF受精率方面的参考意义。

A: I hear Mr. White wants to run for the Presidency!

我听说怀特先生要参加总统竞选！