查询词典 existence conditions

In order to investigate the existence conditions of the robust optimal state feedback of uncertain system, we have to study the problem of GARE, that is the solution existence of the following equation PA+A'P+Q-PMP=0, Q=Q', M=M' In chapter 2, using some preliminary results and properties of the Riccati differential equation, we have established the sufficient conditions for the GARE problem.

在讨论不确定性系统LQL方法的状态反馈解的存在性条件时，引出了第二章讨论一般代数Riccati方程解的存在性问题，对一般Riccati方程 PA+A'P+Q-PMP=0，Q=Q'，M=M'第二章中先列举讨论了Q、M为正、负定各种情况下的实对称解的存在条件，然后着重研究了M、Q不定的情形。

However, methods and references for difference equation are relatively less. The new method proposed in this paper transfer the complex boundary value problem into the existence and uniqueness of the solution of the linear equations. For linear case , we obtained the necessary and sufficient conditions for the existence and uniqueness of the solution for the BVP; For the nonlinear case ,we got a series of new sufficient conditions by using contraction mapping theory and cone theory .

而差分方程边值问题的研究方法和文献还很少，文中新的研究差分方程边值问题的方法是将复杂的边值问题求解转化为代数理论中的线性方程组解的存在和存在唯一问题；对线性情形，较容易地获得了边值问题的解存在以及唯一的充分必要条件，而对非线性情形，则通过压缩原理和锥理论等各种不动点定理，获得了一系列新的充分条件。

The researchers in the past only considered the existence conditions of the spatially homogeneous periodic solutions of the kind of models, and regarding the delay or the diffusion rate as a bifurcation parameter, the existence conditions of Hopf bifurcation, and the direction of Hopf bifurcation with Neumann boundary condition.

以前的研究者只讨论了此类系统的空间齐次周期解的存在性条件，或是以时滞，或扩散系数为分支参数的Hopf分支存在的条件，以及Neumann边界条件下此类系统的Hopf分支方向。

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。

On the basis of Nagumo′s existence theorem for the singular case, we obtain the existence of solutions of singular equations satisfying nonlinear boundary value conditions and periodic boundary value conditions by means of approximations.

在Nagumo型存在定理的基础上，我们应用逼近的方法给出了奇性方程满足非线性边值条件和周期边值条件的解的存在性。

Analytical results show that: Anode evaporation rate, which determines mostly the production rate of UFMP, is influenced by the many factors including electric parameters of arc, ambient conditions and material properties et al; Existence and increase of anode ejection can influence the production rate and property of UFMP; It is firstly found and investigated that surface connexity phenomenon of Al anode material. Analyses and calculation show that formation of anode spot and existence of self-magnetic field force play an important part in surface connexity process; Effects of cathode material on prepared UFMP is also experimentally studied and theoretically analysed. It shows that effect of the cathode is inconsiderable under the experimental conditions used in the study. At last, the experimental results found in part one are analysed and discussed in detail.

然后详细分析了电弧与电极间的相互作用过程，结果表明：决定超微粉产率的阳极材料蒸发率受许多因素影响，它主要与电弧电参量，环境条件及材料性质有关；阳极表面液滴喷溅的存在和加剧将严重地影响所制超微粉的产率和性质；首次发现和实验研究了Al阳极表面凸起现象，并对此现象进行了详细的理论分析和实际估算，认为阳极斑点的形成及自磁场作用力的存在在该过程中起着重用作用；实验研究和理论分析了阴极材料对所制超微粉的影响，认为在本文所用实验方法及条件下，阴极材料对粉的影响很小。

InSection 2,we give several sufficient conditions for the existence of one solution,multiplesolutions and infinitely many solutions of the Sturm-Liouville bvps via the generalizedpolar coordinates.Then in Section 3,the existence of positive solutions are proved undersuperlinearity,sublinearity and many other conditions by a fixed point theorem in cones.Our results have generalized those in many articles.A detailed discussion of periodic solu-tions of a kind of functional differential equations with high-order Laplacian-like operatorcan be found in Section 4 and this subject has not been studied before.

在第二节，我们定义了一种新的坐标变换-广义极坐标，并利用它讨论了p-Laplacian算子和Laplacian-型算子的Sturm-Liouville边值问题，分别得到了存在一个解、多个解、无穷多个解的多个充分条件；第三节研究p-Laplacian算子的Sturm-Liouville边值问题正解的存在性与多重性，采用的是锥上的不动点定理，全面推广了这一方面已有的结果；对目前研究较少的高维Laplacian-型算子及带有Laplacian-型算子的泛函微分方程的周期解问题，我们在第四节做了一些研究，这也是拓扑方法的一个应用。

Therefore, this research emphasizes on the learners with personality traits and learning style, and adds knowledge creation factor to see how the learners' responses toward the external stimulators under the E-learning environments. Then this research analyzes the learners' differences on the basic existence and points out that what kind of teaching methods suits the learners best. This research has three results as following: 1.The personality traits and the learning style have the remarkable corresponding relational existence. Openness corresponds to assimilator; Conscientiousness corresponds to converger; Extraversion corresponds to accommodator; Neuroticism corresponds to diverger; Agreeableness has no remarkable correspondence relational existence.

故本研究以人格特质、学习风格等学习者个体本身对於外在环境刺激所反应出的行为，加入知识创造行为，在数位学习的学习环境下进行成效的探讨，分析学习者在根本上所存在的差异，并指出以何种方式进行教学较适合学习者本身，研究结果发现：一、人格特质与学习风格有显著对应的关系存在，聪颖开放人格对应同化型；严谨自律人格对应聚合型；外向人格对应调适型；神经人格对应於分散型；和善人格无显著对应的关系存在。

But the existence in question is no longer the juridical existence of sovereignty; at stake is the biological existence of a population.

但是生存的考虑不再是君主的司法存在；考虑的是人口的生物存在。

The author strictly distinguishes existor from existence, reveals their symmetrical and complemental features and expounds the symmetrical and complemental relation between subjective existence and objective existence.

作者严格区分了在者与存在，揭示出其对称互补的特征，并进而论述了主客体存在的对称互补及其各自的对称互补关系。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。