查询词典 existence theorem of implicit function

Motivated by this, we consider the global behavior of positive solutions of three-point boundary-value problems for second-order differential equations, under two different kinds of boundary-value problems, using fixed point theorem, fixed point index theorem and cone theory.

本文受到文献[7]的启发，运用不动点定理、不动点指数定理以及锥理论，分别研究了两种不同边值条件下二阶微分方程三点边值问题正解的整体性。

Based on the minimizing vector theorem of the fuzzy inner product space ,the pseudo fuzzy orthogonal vector is defined and the projected theorem of the fuzzy inner product space is testified.

在模糊内积空间的极小化向量定理基础上，给出了向量拟模糊正交定义，并在模糊内积空间中证明了投影定理。

In this paper we have obtained the sufficient and necessary condition concerning the passage to the limit under the integral sign, and have given some examples of the problems which can be solved by the theorem of this paper but cannot be solved by the familiar Vitali's theorem.

关于积分号下取极限的问题，有著名的Lebesgue定理及Vitali定理。本文作者进一步研究了这一问题，得到了积分号下取极限的充分和必要条件，并给出了几个能用本文结果解决而不能用Vitali定理解决的例子。

Third, the use of Lagrange's theorem proving the points of the study on some conclusions, that the Lagrange theorem in the integral study also has a wide range of applications.

再次，利用拉格朗日定理证明了积分学上的几个结论，说明拉格朗日定理在积分学中也有广泛的应用。

Although it is easy to prove the result of the integral mean value theorem in advanced mathematics, the application of the theorem is thus limited.

摘要高等数学中的积分中值定理，其结论易于证明，但限制了定理的应用。

Its universal approximation has been proved by using differential intermediate value theorem and Weierstrass theorem.

笔者采用微分中值定理和Weierstrass定理证明它的通用逼近性。

Differential intermediate value theorem commonly known as "Lagrange mean value theorem" is a differential study in one of the most important conclusion.

微分中值定理一般称为"Lagrange中值定理"，是微分学中最重要的结论之一。

Through the study of this article requires proficiency in differential intermediate value theorem and Taylor's formula to prove, using theorem to solve a number of conclusions related questions, so can a clear understanding of this kind of problem solving ideas.

通过本文的学习，要求熟练掌握微分中值定理和泰勒公式的证明，运用定理结论来解决一些与之相关的问题，使能够明确了解此类问题的解题思路。

This thesis consists of five chapters. At first, We introduce the study history as well as present situation on KKM theory. Secondly, We discuss the invariability of transfer open valued multimap under the restriction of upper and lower semicontinuity on generalized convex spaces. Then, We obtain new KKM type theorems from the classical KKM theorem by applying upper and lower semicontinuity. We also obtain intersection theorems by applying the KKM type theorems for a multimap from a topological space to another topological space. Further, We obtain Ky-Fan type coincidence theorem by applying known variational results on the KKM type theorems. Finally, We give an application to new theorems.

本文共分五章，首先回顾了KKM理论的研究历史和现状，其次讨论了在一般化凸空间上转移开值映射在上、下半连续映射下的不变性，然后在上、下半连续映射下，以古典的KKM定理为基础得到新的KKM型定理，并利用从一个拓扑空间到另一个拓扑空间的集值映射及KKM型定理得到相交定理，进一步利用已知的KKM型定理的变形结论得到Ky-Fan型重叠定理，最后给出新定理的一个应用。

The conservation theorem and its inverse theorem for the Poincar - Chetaev' s equations were established.

建立了Poincare-Chetaev方程的守恒定理及其逆定理，并举例说明结果的应用。

Effective local search tactics reaches local searchers when they are ready to buy - with every way that it is possible for them to buy from you.

有效的地方搜索策略达到当地的搜索，当他们准备购买-以各种方式，这是他们有可能从您那里进行购买。

The first two are periodic sentences for their beginnings; and the fifth and the last are also periodic sentences each for the embedding of a parenthetic structure.

1960年代中后期，当战后女权主义和当时的许多其他抗议运动在西欧和北美发展成某种势力时，性别的概念演绎成补充和延伸生物性别差异的概念。