查询词典 existence theorem

On the basis of the above references, this paper attempts to make use of cone compression and expansion fixed point theorem, Mnch fixed point theorem and fixed point index theorem to discuss a special kind of singular boundary value problem-Lidstone boundary value problem.

主要包括以下三个方面的内容：第一章考虑了Banach空间中2n阶奇异边值问题正解的存在性，其中f在t=0，1处具有奇异性这里θ表示Banach空间E中的(来源：faABC论文网www.abclunwen.com零元。

In recent years, along with the intensive study and extension of residue theorem, the residue theorem has been more intensively used, which illustrates the importance of residue theorem and its use value to a certain extent

近年来随着留数定理的深入研究与推广，留数定理得到了愈加广泛的运用，这在一定的程度上也说明了留数定理的重要性及其运用价值

For example, basic tools from calculus such as Fermat theorem, Rolle theorem and the intermediate value theorem may not necessarily hold and fundamental concepts such as chain and product rules and certain smoothness properties all need to be modified.

例如，微积分中的基本工具诸如Fermat定理、Rolle定理以及介值定理不再成立，一些基本的概念诸如链式法则、乘积公式以及某些光滑性都需要做适当的修正。

The last chapter talks about the H"yashenko"s two-side cycle theorem, that is, every two-side cycle of an analytic vector field in the real plane is the finite polycycle. The quadratic finiteness theorem is a direct corollary of this theorem.

最后一章介绍了Il'yashenko两边形定理，即实平面上解析向量场的任一两边形均为有限多边环，这个定理的直接推论便是二次系统的有限性定理。

Using variable upper limit integration and Lagrange mean value theorem,this article proves the first mean value theorem under the same condition and give several spread of the first integral mean value theorem .

在条件完全相同的情况下改进积分第一中值定理，并利用变上限积分函数和拉格郎日中值定理证明该定理，并给出积分第一中值定理的几个推广

The Fundamental Theorem of Calculus in Higher Dimensions; Additive Measures, Stokes Theorem and the Divergence Theorem

微积分在多维中的基本定理：加性测度，斯托克斯定理以及散度定理

Those questions about " Gauss theorem" of electro - magnetic field arecleared up, and the difference between " Gauss theorem" of electro - magnetic field and" Gauss theorem"of vector field is pointed.

本文旨在澄清有关电磁学中"高斯定理"的诸多疑问，并指出它与高等数学中的"高斯定理"的区别。

Consequently, Divergence theorem, Green's theorem and Stokes' theorem those very important and active applications in applied engineering are our main goals of this course.

譬如说，Divergence Theorem、Green's Theorem、Stokes' Theorem等，这些在物理学、流体力学、应用力学以及电磁场学上被广泛应用的重要定理。

In thisthesis, we first extend the vanishing theorem due to Lawson, Simons and Xinto the case of compact submanifolds of a hyperbolic space. Thus, by using thenew vanishing theorem for homology groups, we prove the topological spheretheorem for complete submanifolds in a hyperbolic space. Hence we generalizethe Shiohama-Xu topological sphere theorem.

本文进一步将Lawson-Simons-Xin同调群消没定理拓广到双曲空间中紧致子流形的情形，并运用这一新的同调群消没定理证明了双曲空间中完备子流形的拓扑球面定理，从而推广了Shiohama-Xu的拓扑球面定理。

For example,basic tools from calculus such as Fermat theorem,Rolle theorem and the intermediate value theorem may not necessarily hold and it is difficult to find a universal program for simulation in a model with various timescales,which attract attention of great deal researchers.In this PhD thesis,we first consider classification schemes for positive solutions of the first and second order dynamic systems.

在探讨测度链上的动力方程的动力学行为时人们所熟悉的基本工具诸如Fermat定理，Rolle定理以及介值定理等不再成立，同时很难找到适应不同测度链的模拟程序，这些在给测度链理论研究带来诸多困难的同时，也更引起了广大学者的兴趣。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。