查询词典 existence theorem of implicit function

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。

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。

Since the nihilist denies the existence of statues in general, he will deny the existence of the particular statue, David.

因为没有论者拒绝一般性的雕像的存在，他也会拒绝具体的雕像的存在。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。