定理的

By using homeomorphism method and the extended inverse function theorem,the existence and uniqueness of the solution for the semi-linear pseudoparabolic equations is obtained.

首先在Hilbert空间中建立了强制不等式，利用同胚方法和抽象的反函数定理，得到了半线性伪抛物方程初边值问题解的存在性和惟一性定理。

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。

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。

In the second chapter, we consider a kind of Kolmogorov system. The sufficient condition for nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained by using divergence integral, Poincare-Bendixson theorem and Zhang Zhifenunique theorem.

第二章讨论了一类Kolmogorov系统，利用发散量积分、环域定理和张芷芬唯一性定理，得到了该系统无闭轨的充分条件和存在唯一极限环的条件。

Among which theorem 1 and theorem 2 are similar to the controlled convergence theorem and Lukin theorem in Lebesgue integral Theory.

定义μ=|G|／|Irr|。得到了定理1 若G是非交换有限群2。首先得到具有这种性质的非Abel有限单群的完全分类定理。

In the second chapter, we consider a kind of Kolmogorov system. The sufficient condition for nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained by using divergence integral, Poincare-Bendixson theorem and Zhang Zhifen\'unique theorem.

第二章讨论了一类Kolmogorov系统，利用发散量积分、环域定理和张芷芬唯一性定理，得到了该系统无闭轨的充分条件和存在唯一极限环的条件。

Based on the Second Desargues Theory and involution theory,a simple drawing method for a conic is presented.

为了使二次曲线的作图更简便，文章以第二笛沙格定理和对合定理为基础，提出了一种新的作图方法。

The irreducibility and unitarizability Theorems in section 1. 2. 4 are useful for our study.

其中§l.2.4节的不可约性定理和酉性定理对我们的研究很有帮助。

Correspondingly, the concept of fuzzy regular semiideal is introduced and the correspondence theorems of fuzzy regular semiideals and the isomorphism theorems of fuzzy regular quasi-quotient rings are established under ring homomorphism.

相应地，我们引入了模糊正则半理想概念，建立了环同态下模糊正则半理想的对应定理以及模糊正则拟商环的同构定理。

Explanation, according to this view, is simply accounting for facts on the basis of deduction from a known law or laws, or accounting for some subordinate law on the basis of a deduction from some more general law or laws.

根据这个观点，解说就是简单地说明已知定理或定律推理基础上的事实，或说明某些从一般定理推理出的附属定律。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。