查询词典 existence theorem of implicit function

By constructing a special cone and using cone compression and expansion fixed point theorem, we get the existence of positive solutions.

第二章在抽象空间E中仍然考虑第一章中的2n阶Lidstone奇异边值问题的解的存在性，其中f∈C[(0，1)×P，P]，且在t=0，1处具有奇异性。

The existence and uniqueness of the solution with the help of the Banach fixed point theorem and the theory of operator semigroups are verified .The global exponential stability of KS equation and the global exponential stability and asymptotical stability of macro KS equation with the given boundary feedbacks are proved .

通过Banach不动点原理和算子半群理论证明了方程解的存在性和唯一性，并证明了KS方程在给定的边界反馈条件下是全局指数稳定的及广义的KS方程在给定的边界反馈条件下是全局指数稳定和渐近稳定的。

In Chapter 4we make more study about the properties of the multifractal Hausdorff mea-sure.The existence of finite measure subsets and the Frostman theorem areproved in this chapter.

第四章我们进一步讨论重分形Hausdorff测度的性质，证明了关于重分形Hausdorff测度的有限测度子集的存在性及Frostman定理。

There are some results for the problem which confine M as only related to λ. In this paper, we break down this confinement and deal with it in a wider situation. By energy estimates and fixed point method, the existence and uniqueness theorem of th...

以前的工作仅在M是参数λ的特殊情况下做的，文中打破了这种限制，在一般情况下讨论了这类非线性双曲方程的可解性，以能量估计与不动点相结合给出了此方程有惟一局部解的存在定理，从而基本上解决了这类方程初值问题的存在惟一性。

Chapter two mainly considers the periodic boundary value problems for impul-sive differential equations. Some existence results, obtained by the help of Schaeffers fixed point theorem and the method of upper and lower solutions coupled with the monotone iterative technique.

第二章讨论了两类周期边值问题，通过利用Schaeffer不动点定理，上下解方法和单调迭代方法，建立了解存在的充分条件。

To our knowledge, this is the first work for the existence of periodic solutions for neutral systems by generalized Schaefer fixed point theorem of seperate contraction mapping.

第四章，讨论了两类依赖于参数的泛函微分系统，用锥上的Deimling不动点定理，证明了系统的正周期解的个数与参数的取值以及非线性项的渐近行为有关。

Local existence is proved by using a fixed point theorem.

本文利用不动点定理证明了局部解的存在性。

The existence and uniqueness of the solutions are proved by Leray-Schauder fixed point theorem.

相应解的存在唯一性由Leray-Schauder不动点定理得以证明。

Under the suitable conditions, the existence of positive solutions is established by using the abstract fixed point theorem.

研究几类二阶非线性常微分方程组的边值问题，在合适的条件下，利用锥拉伸不动点定理获得了其正解的存在性。

The third section is the main part of this paper, where we discuss the existence of positive entire solutions by the super-subsolution method and some fixed point theorem.

第三章是本文的主要部分，主要用上下解方法和不动点定理解决解的存在性问题，推广了已有的成果。

When this condition occurs, inbound replication with the source partner is stopped on the destination domain controller and event ID 2042 is logged in the Directory Services event log.

计算机密码学是研究计算机信息加密、解密及其变换的科学，是数学和计算机的交义学科，也是一门新兴的学科。

Instructions: click on the thumbnails to see a larger image, then use the left-right arrow keys to scroll through the slideshow.

使用说明：滑鼠点在小图上即可放大观赏。开启后键盘左右键可用来换照片。