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This method is based on the work of reference [1]. By using the Riesz present theory in Hilbert space, we first transform the iterative procedure of variational inequalities into a fixed point form. Then, using the Schauder fixed point theory, we construct a numerical verification method with high efficiency that through numerical computation generates a bounded, closed, convex set in which the approximate solution is included.

通过Hilbert空间中的Riesz表示定理，首先将变分不等式问题的迭代过程转化为一种不动点形式，再利用Schauder不动点定理构造了一个高效率的数值证明过程，即通过数值计算产生一个包含近似解的有界闭凸子集。

Based on the delta operator bounded real lemma, sufficient condition with an H〓 norm bound on closed loop uncertain systems and state feedback design are provided.

基于Delta算子的界实引理，给出了闭环不确定系统具有H〓范数界的充分条件及状态反馈设计方法。

Besides,we investigate the compatibility of the pair,where A is a bounded linear self-adjoint operator on a complex Hilbert space H and S is a closed subspace of H.

此外，对由一个自伴算子A和一个闭子空间S组成的元素对的兼容性进行了研究。

Let 〓 be two Hilbert spaces over the same field,and let T:〓a bounded linear operator with closed range.

在1.4中，我们在最一般条件假设下，给出了Hilbert空间上线性有界算子及其最小二乘解的误差分析，从而完整地解决了Hilbert空间算子的扰动理论。

The purpose of this paper is to prove the existence of non-oscillatory solutions to second-order neutral time-lag differential equation with positive/negative coefficient by using contraction-image principle through defining an operator from a bounded,closed,and convex subset into Banach space.

通过定义有界闭凸子集到B anach空间上的一个算子，应用压缩映像原理讨论了带有正负系数的二阶中立型时滞微分方程非振动解的存在性，得到该方程非振动解存在的一个充分条件。

We give a brief proof of the existence theorem of Supremum and Infimum of a bounded set of fuzzy numbers given by Wu cong-xin and Wu chong in [30] . It is used to establish the monotone convergence theorem and the nest theorem of closed intervals on E〓,τ

给出了吴从忻、吴冲[30]得到的模糊数集的确界存在定理的一个简洁证明，并利用此定理在空间E〓，τ(l中建立了模糊数序列的单调收敛定理和闭区间套定理。

A discussion is made of the continuously sufficient and necessary conditions of the bounded variation fon the closed interval in the paper.

讨论了有界变差数 f在闭区间上连续的充要条件以及函数 f在闭区间上有有界变差的充要条件。

It is shown that the closed-loop system is ultimately bounded on all signals.

理论分析证明了闭环系统的所有信号一致最终有界。

Expression can be acquired, and the uniformly ultimately boundedness of the closed loop system

应器为例的仿真结果也验证了控制器具有良好的控制特性。

A modefied egg function has been proposed and used in a bounding surface model. This model has potential value of applicaton since it reflects better actual situation of soil mass under loading. That is: when a stress point is still within the yield surface, the unrccovered plastic deformation would occur as stresses change, and using closed smooth function makes stress modification in the FEM much easier.

文中提出了一个改进蛋形函数，并采用这个函数建立了边界面模型，该模型由于机理上更好地反映了土体受荷时的实际情况，即当应力点在屈服面内时，随着应力状态的改变，仍然可以产生不可恢复的塑性变形，而在计算功能上由于使用了封闭光滑的边界面，不存在角点问题使有限元程序计算显得很方便，从这两个方面看，该模型具有潜在的应用价值。

He became prime minister in 1997 and won international acclaim for his role in the Northern Ireland peace process.

他在1997年成为总理，并且因为在北爱尔兰的和平进程中发挥的作用受到国际社会的赞许。

Mixed Page Sorting Method Using the cuttable user model, this thesis proposes a mixed page sorting method by using cutted user model in server-side and complete user model in client-side.

隐私分级利用的混合式页面排序方法针对个性化搜索中搜索结果排序的问题，本文利用隐私可控开放的用户偏好模型，提出一个在客户端和服务器端分步进行的隐私分级利用的混合式页面排序方法。