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All the known results about analytic solutions for iterative functional differential equations are obtained by the majorant series and the Banach fixed point theorem.

本文的第三章首先利用不动点定理得到了一类迭代泛函微分方程高阶光滑解的存在性、唯一性和关于已知函数的连续依赖性定理,得到了与常微分方程类似的结论。

At present, many known results are obtained only on one dimensional functional space, and the research on high dimensional space is little, only the continuous solutions are discussed on RN, neither the differentiate solutions on RN nor the solutions on abstract space and manifold.

在一维情形下,所涉及的函数通常具有较好的性质比如单调性,逆映射导数的LipschitZ性(在研究光滑解时通常需考虑)等,而第il页摘要高维空间上函数则不具有这些好性质,因此,讨论高维空间上的迭代方程要求在方法上作一些改进和突破。

The parameter space is included to construct a compound piecewise smooth map by composing previous discontinuity mappings with a Poincarémap for smooth periodic solution.

引入参数空间,将未发生碰撞的周期轨道对应的光滑映射与前面得到的不连续映射复合得到两类擦边分岔的分段映射形式。

In the Uzawa algorithm, we use the HX preconditioner for the primal variable. The numerical results indicate that the new algorithm has good parallelization scalability and the iteration counts are independent of the mesh size and the jump range as for the floating subdo mains and interior cross-points.

数值实验结果表明,不论是对光滑系数还是对有无浮动子区域及有无内交叉点的跳系数情形,我们所设计的并行算法HX-Uzawa-p的迭代次数都基本不依赖于网格规模及系数跳幅,且具有很好的并行可扩展性。

The local superlinear or quadratic convergence rate is also obtained under the condition that the solution is R-regular. 4. For NCPs and MCPs, by eliminating the multiplier parameters from above merit functions, some new simple smooth merit functions without any parameters are obtained respectively. For the P〓-function any stationary points of the merit functions are the solution of the problems.

对于互补和混合互补问题,通过消去乘子的技巧性工作,分别构造了新的不含任何参数的一类光滑价值函数,它们结构简单,在P〓-函数情形便可保证其稳定点是互补问题之解,不仅具备类似著名Fischer-Burmeister函数的良好微分性质,且强制性方面更优,同时对线性问题也保持了其线性性质。

We transforms the special linear system of strict inequalities into three kinds of minimax problems, and then solves it with the aggregate function method assisted with some corresponding method. At last the numerical experiment is done under the environment of matlab.

我们将其转化为三种形式的Minimax问题,对转化后的三种Minimax问题,用凝聚函数法分别将其目标函数光滑化,并分别用带Armijo不精确线搜索的最速下降法、带自适应参数修正的凝聚函数法以及既约梯度法来求解。

The debris for Tycho is distributed in clumps rather than knots as in Cas A, and its outer shock wave can be seen in smooth and continuous arcs rather than being fragmented, as in Cas A.

第谷遗迹中的残片呈团块状分布,而非 Cas A 中的扭结,而其外侧的激波也不象 Cas A 那样破碎,而是呈现出光滑连续的圆弧。

For example, U-space is uniformly regular and which makes it has fixed point property, U-space is uniformly non-square and thus super-reflexive, uniformly convex space and uniformly smooth space are U-spaces, and an Banach space is an U-space iff its dual space is U-space, etc. In1990s, a lot of work had been done on U-space theory, e.g., Tingfu Wang and Donghai Ji introduced the concepts of pre U-property and nearly U-property. Under the structure of Orlicz space, they made systematic investigation of these properties, and gave the criteria for an Orlicz space to have U-property.

U-空间具有一致正规结构进而具有不动点性质;U-空间是一致非方的,进而也是超自反的;一致凸空间和一致光滑空间是U-空间;Banach 空间为U-空间的充要条件是其对偶空间为U-空间,等等。20世纪90年代,国内外学者对U-空间理论做了很多工作,王廷辅,计东海等人先后引入了准U-性质与似U-性质的概念,并在Orlicz空间框架下对有关性质进行了系统研究,完整给出了Orlicz空间具有各种U-性质的判据。

Kenneth was good friends with the homeowners, and replaced the countertop with a glossier, but much more functional, intact Carrara marble.

设计师肯尼斯与房主是好朋友,他用表面光滑带有鲜艳图案的台面来取代原来厨房的工作台面,这样的设计有更多的实用性,保护大理石的工作台面不受损伤。

Anping full of bubble sitting on the floor, Chouzhao tobacco, as stators on it at Anping's side, and naked with their never deformation and aging of the body, the texture smooth plastic Eimeria.

安平坐在满是肥皂泡的地板上,抽着烟,静子就那样倒在安平的身边,赤裸着自己永远不会变形和衰老的身体,塑胶的质感光滑柔嫩。

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