查询词典 existence

The main results and novelties of the paper are as follows:Firstly, we study the existence of nontrivial solution for the following nonlinear equations with singular pontential By using variational methods and critical point theory, we construct linking type critical value of this kind of singular elliptic equations, with the properties of the eigenvalue, we estimate the critical value and prove the local condition holds to show the existence of the nontrivial solution.

论文的创新点及主要结果如下：首先研究有界区域上具有奇异位势的非线性方程的非平凡解的存在性，运用变分方法与临界点理论，构造这一类奇异椭圆方程的环绕型临界值，并由特征值的性质给出临界值的估计，同时证明局部条件成立，最终证明方程非平凡解的存在性。

Since the solutions of this problem are the critical points of the associated energy function. One generally needs some compactness such as PScondition or C-condition to prove the existence of critical points of the energy func-tion, but when we study the elliptic equation in R~N, the compactness condition does not always hold since the imbedding of the Sobolev space H_0~(1,2)into L~(2*) is not compact. In this chapter, based on the nonsmooth critical point theory, and by using the approximation technique with periodic function, the existence of nontrivial solution is obtained.

由于该方程的解就是其所对应的能量泛函的临界点，通常都要在一些紧型条件的基础上来证明其所对应的能量泛函临界点的存在性，但当我们在无界域上考虑该椭圆方程解的存在性时，Sobolev空间H_0~(1，2)到L~(2*)的嵌入非紧，从而导致所对应的能量泛函失去紧性，本章在非光滑临界点理论的基础上，应用周期逼近的方法证明该问题非平凡解的存在性。

These values are called existence vulnes which are subdivided into three categores: pure nonuse value、not repeatedly use valne and pure existence valne.

存在价值又分为纯不能利用的价值，不再利用的价值和纯存在价值三种。

Once you got a purpose in your mind, you obey the whole existence. When you focus on a purpose, you will meet frustration. When you obey the whole existence, you will not be succeed. You are the small one in the world.

一旦你有了一个目的，你就违反了整体——记住这一点——那么你就会有挫折，当你违反整体，你无法胜利。

In the wake of the above the classification, Rosenberge raised the principle for distribution of burden of proof: person who is in view of right existence is obligated to take the burden of proof according to the legal requirement for the right occurring; person who deny right existence is obligated to take the burden of proof according to the legal requirement for right obstacle, right nullification or right obviation.

在进行了上述法律规范分类后，罗森伯格提出的分配证明责任的原则是：主张权利存在的人，应就权利发生的法律要件事实负证明责任；否认权利存在的人，应对存在权利障碍要件，权利消灭要件或权利排除要件事实负证明责任。

According to Faraday's experiment, there must be a wire testing the existence of the electric field, just as there must be a magnetic pole, or needle, testing the existence of a magnetic field in Oersted's experiment.

根据法拉第的实验，必须有导线来检验电场是否存在，正像在奥斯特的实验中也必须有磁极或磁针来检验磁场是否存在一样。

The existence of a written contract depends on the fact that the offerer and offeree have interchanged their written expressions, not on the continued existence of those expressions.

书面合同的存在取决于要约人和受约人之间交流了书面表达之事实，而非那些表达的继续存在。

The notions of Sigmund Freud and Carl Jung regarding the role of the human subconscious in defining and accepting human existence, coupled with the existentialist concern with the individual's responsibility for understanding one's existence on one's own terms, captivated the imaginations of postwar artists and writers.

的概念弗洛伊德和荣格的作用人类潜意识中的界定和接受人的存在，再加上存在关心个人的责任，理解人的存在对自己的条件，吸引了想象力的战后艺术家和作家。

On the contrary view, while the normal state of man is admittedly a union of soul and body, the possibility of disembodied conscious existence is firmly held, both on the analogy of God's existence as pure spirit and on the basis of such passages as Heb.

与此相反的观点，而正常状态的人，是无可否认的联盟的灵魂与身体，有可能disembodied有意识的存在是牢牢举行，双方就比喻上帝的存在，作为纯粹的精神，以及关於根据这些通道作为希伯来书。12：23 and Rev。

Here mainly introduces five natures of the initial value problems, In several aspects summed up as the following : whether there are solutions to the problems, whether the only solution, the existence of solutions interval extent; Initial issues under what conditions have a solution--Cauchy - Piano existence theorem; how the district between the definition of a solution to open up a larger interval up; initial value problems for the sole condition --- Lipschitz conditions; 3、the numerical solution of the initial value problems of Ordinary Differential equations .

在这里主要介绍了初值问题的5个方面的性质，分别在这几个方面中总结了以下内容：初值问题是否有解，解是否惟1，解的存在区间有多大；初值问题在什么条件下有解----柯西-皮亚诺存在定理；怎样把在小区间上有定义的解开拓到较大的区间上去；初值问题解的惟1性条件---李普希茨条件；3：常微分方程初值问题的数值解法。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。