查询词典 unique existence

In the paper, we study the existence and eigenvalue problem of p-Laplacian equation with No flux boundary condition in a bounded domainΩ?

中文摘要：本文主要研究了R~N中有界域上p-Laplacian方程在无流边界条件下问题解的存在性及特征值问题。

Then we obtain the existence and nonexistence of the solutions for complex Monge-Ampere equation and Hessian equations with infinite boundary value in the certain bounded domain in Cn.

第三章我们先介绍郑绍远与丘成桐在研究非紧复流行上的复Kahler度量的存在性时的主要工作，然后通过构造径向闸函数的方法来讨论凸域上的复Monge-Ampere方程以及复Hessian方程边界爆破问题解的存在性。

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 first show some properties of such operators and give an explit description about the image of a linear bounded operator on a linear normed space. Then based on these results, we show the mean ergordic theorem on a C*-bial-gebra and get a sufficient and necessary condition for a linear functional to be Haar measure. Finally we discuss the sufficent conditions for the existence of Haar measure on C*-bialgebras.

本文首先通过考察这样算子的性质和刻画赋范线性空间中连续线性算子的像集的性质，证明了C*－双代数中的一个平均遮历定理，得到了C*－双代数中的线性泛函是 Haar 测度的充分必要条件；利用遍历定理和这个充分必要条件探讨了C*－双代数中 Haar 浏度存在的一些充分条件。

By using the integral equation and the Schauder fixed point theorem, through considering the height of nonlinear term on some bounded set, a new existence theorem is established.

利用积分方程和Schauder不动点定理，通过考察非线性项在某些有界集合上的高度建立了一个新的存在定理。

The existence of supremum and infimum of the bounded set in the noncompact fuzzy number space E〓 is proved in a quite different way.

利用完全不同的方法证明了非紧模糊数空间中有界集的确界存在性。

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。

And we also prove the existence theorem of minimizer for the new model by means of Poincares inequality and the lower semi-continuity of bounded variation functions.

根据有界变差泛函中的Poincare不等式和下半连续性，证明了该模型极小值的存在性。

And we also prove the existence theorem of minimizer for the new model by means of Poincare's inequality and the lower semi-continuity of bounded variation functions.

根据有界变差泛函中的Poincare 不等式和下半连续性，证明了该模型极小值的存在性。

In Chapter 2, we obtain the boundedness of solutions and the existence of invariant tori for an symmetric conservative system.

在第二章中，我们研究了一类非对称的保守系统解的有界性和不变环面的存在性。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。