不动性

By using the theorem on cone expansion and compression and a fixed point theorem on cone,this paper is concerned with the existence of positive solutions for some boundary value problem of singular nonliear semipositive second-order three-point boundary value problem,which improve many known results.

运用锥拉伸与压缩不动点定理研究非线性奇异半正二阶三点边值问题正解的存在性，推广了一些已知的结果。

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。

Using a new measure function to express the sparse prior information of SAR image, a regularized model is established. The model is solved by the fixed point iteration method and proved to be convergent.

本文采用一种新的度量函数表示SAR图像的稀疏先验，建立正则化模型，证明了不动点迭代求解的收敛性。

The solutions are obtained for both the steady-state case and the developing case by the fixed point theorem and the semi-discretization method.

通过不动点理论结合半离散方法，分别得到定态情形和发展方程解的存在性。

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中，通常把所求的解归结为度量空间中映射的不动点，然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

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。

In chapter one, by using Krasnoselskii s fixed point theorem, necessary and sufficient c...

第一章讨论了一类带阻尼项的高阶非线性中立型差分方程正解的存在性，利用Krasnoselskii不动点定理，得到了非振动解存在的若干充分必要条件，这些结果改进和推广了一些已知的结果。

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。

We prove that the existence and uniqueness of solution of the system of generalized nonlinear variational inclusions by using the fixed point theorem.

运用不动点定理，我们证明了广义非线性变分包含组解的存在性与唯一性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。