查询词典 existence proof

By employing the local Lipschitz condition and Picard sequence, the local existence-uniqueness of solutions of stochastic functional differential equations of Ito-type is firstly obtained. Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition. Finally, by establishing some delay differential inequalities and using properties of H_m-functions, a stochastic version of Wintner theorem and the global existence-uniqueness of solutions of stochastic functional differential equations of Ito-type are given. The results generalize the earlier publications.

首先，利用局部Lipschitz条件和Picard序列，获得了伊藤随机泛函微分方程解的局部存在唯一性；其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；最后，通过建立一些时滞微分不等式和利用H_m-函数的特性，得到了Wintner定理的随机版本和伊藤随机泛函微分方程解的全局存在唯一性，推广了已有的一些结果。

First, it discusses the presentation of the issue of Evil, mainly describes Augustine's personal experience and the evolution of the concept of Evil; Second, it elaborates Augustine's view of Evil: he opposed the claim of Good and Evil in Manichean dualism, and claimed that God is the only eternal existence, while others are all come from the Nothingness, all things have different location due to the existence of different grade in the order of Good, on the comparison to the perfection of God or above their things, which revealed the flaws that is Evil which is "the lack of Good".

本文首先论述恶的问题的呈现，主要对奥古斯丁关于恶的个人生存体验以及恶的观念发展进程加以阐述；其次，分析奥古斯丁对恶的看法：他反对摩尼教所主张的善恶二元论，认为上帝是唯一的永恒实存，而其他一切存有都是上帝从虚无中创造出来的，一切存有就其实存而言都是善的，而上帝是全善的，万物由于分有了不同的善而处在不同的存在等级秩序当中，与至善的上帝或高于其上的事物相比所显露出的瑕疵即是恶，是"善的缺乏"。

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。

If in one language the existence of A includes B, while in the existence of B does not imply A, then in the language A is more markedness than B.

既：如果一种语言中的A的存在包含着B的存在，但是B的存在不包含A已经存在，那么现象A比现象B更具有标记性。

Its existence is the milli- is nonsense far from, contrary, the existence of the engagement to marry usually can resolve social marital life in of many problems.

其存在绝非是毫无意义的，相反，婚约的存在往往能解决社会婚姻生活中的许多问题。

This paper is using contrast analysis and typical cases of the existence decides the consciousness in the materialism knowledge and the consciousness decides the existence in Hegel's idealistic knowledge to expose its mistrial veal of idealistic nature in this legend, and the severe harm to the develop of economics.

本文用存在决定意识的唯物主义认识论和黑格尔意识决定存在的唯心主义认识论的对比分析及典型事例，令人信服的揭穿了这个神话的唯心主义性质以及对经济学的严重危害。

Furthermore, we will discuss the corresponding decay rates problem when the viscous term tends to zero.The first part is about the local existence. We will regularize the equations by the standard mollifier to get the approximate solutions . Then by making uniform estimates to the approximate solutions and by passing to the limit, we obtain the local existence for the above problem.

我们主要研究了此方程组古典解的局部存在性，爆破准则以及通过粘性消失方法来研究如上方程组的局部存在性和收敛率问题，主要结论有：(1)解的局部存在性利用光滑子对方程组进行正则化，从而得到原方程组的逼近解。

Marxist political culture emphasizes the determinative factor of social existence in the process of development of political culture and displayed outstandingly the motile reaction of the political culture of acting on the social existence.

马克思主义的政治文化观既强调社会存在对政治文化的决定作用，又突出显示了政治文化的能动的反作用。

The effectiveness of the equilibrium credit rationing behavior to our monetary policy mainly express in following aspects: The first, the creation of the equilibrium credit rationing behavior influence the National Central Bank's activity of adjusting the control of foundational monetary directly; The second, the existence of the equilibrium credit rationing behavior inevitably influence the effectiveness of the National Central Bank controls the policy of the market interest rate; The third, the equilibrium credit rationing behavior would influence the monetary multiplicator; The fourth, the existence of the equilibrium credit rationing behavior would result the partition of the credit market.

均衡性信贷配给对我国货币政策的影响主要表现在以下几个方面：第一，均衡信贷配给的产生直接影响中央银行调控基础货币投放的主动性；第二，均衡信贷配给的存在必然影响中央银行控制市场利率政策的效力；第三，均衡性信贷配给影响货币乘数；第四，信贷配给的存在导致信贷市场的分割。

Certainly with a picture of the god of mummification to ensure his continued existence, to ensure the priest's continued existence in the next world.

明确地有一位木乃矣化的神的图像，以确使他继续存在，并确使此祭司在另一世界继续存在。

As a dominant party,CPC government should play a guardian,supervisee and guarantee role to overcome all the difficulties in the development of charitable cause and bring it into full play in the establishment of harmonious society on policies and regulations basis.

在中国共产党的文献中第一次把发展慈善事业提到&最广泛最充分地调动一切积极因素，不断提高构建社会主义和谐社会的能力&的高度来认识。近年来，社会学界对慈善事业的理论专著发表较多，有鉴于此，笔者不揣浅陋，谈谈自己的认识和见解。

Flow through the land, the land of the scale of operation allows the effectiveness of the land may be raised.

通过土地的流转，土地的规模经营可以让土地的效益得到提升。