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The existence of periodic solutions to the second order ordinary differential equation in Banach space is discussed.

本文利用半序理论,非紧性测度,凝聚映射的拓扑度,不动点定理及锥上不动点指数理论,讨论了Banach空间E中二阶常微分方程周期边值问题解的存在性,主要结果有一。

Furthermore,it shows that if E is a barrelled space with continuousdual 〓,then 〓 contains no copy of 〓 if and only if each〓 is compact operator.

据此证明了若E是桶型空间,那么〓〓不拓扑同胚地包含〓的充要条件是每个〓都是紧算子。

Raw material respect: Of cooking benzene market rise benefit at price of upriver crude benzole go tall and of market of oil pure benzene pull move, at present manufacturer of most cooking benzene has not resume production, market supply of goods slants close, although partial manufacturer has certain stock, but the high priced stocks that before be a section more, lays in, cherish goods state of mind is greater, near future of oil pure benzene went tall to also provide a space for the attune on cooking benzene market, if later period of oil benzene market continues,take tall word, cooking benzene market still has the possibility that rise.

原料方面:焦化苯市场的上涨得利于上游粗苯价格的走高以及石油纯苯市场的拉动,目前多数焦化苯厂家尚未恢复生产,市场货源偏紧,虽然部分厂家有一定库存,但多为节前储备的高价货,惜货心态较浓,石油纯苯近期走高也为焦化苯市场上调提供了空间,若石油苯市场后期继续走高的话,焦化苯市场仍有上涨的可能。

However, with the appearance of the philosophy made by Bergson and Heidegger, the problem existed in the latter exposed. It confused the difference between time and space.

然而紧随着柏格森绵延心理学的深入和海德格尔哲学关于存在本真的探讨,后者关于时间和空间上所出现的问题也日益显现。

Brown and Halmos [3] showed that the only compact Toeplitz operator on the Hardy space is the zero operator and a Toeplitz operator is bounded on the Hardy space if and only if its symbol is bounded.

Brown和Halmos[3]证明了经典Hardy空间上只有零算子才是紧的Toeplitz算子,并且证明了Toeplitz算子有界等价于它的符号是有界的。

In[6],Prof Gong and Wang Libin discussed the property of Ho and K when A is an bounded linear operator, he also study the spectral theory of compact operator with these twe subspaces.

龚为邦教授和王利彬博士在[6]中讨论了算子A为一般有界线性算子时子空间H_0和K的性质,并利用H_0和K研究了紧算子的谱理论。

The existence of supremum and infimum of the bounded set in the noncompact fuzzy number space E〓 is proved in a quite different way.

利用完全不同的方法证明了非紧模糊数空间中有界集的确界存在性。

In this paper,we prove that two types of isotropic totally real submanifolds with flat normal bundle in a complex projective space must be minimal.

证明了复射影空间中两种类型法丛平坦的全实迷向子流形必是极小的,并在紧致的情形确定了它们的具体形状。

Finally we discuss the collectively compact Toeplitz operator sequences on Dirichlet space.it extend the single compact operator.

最后对Dirichlet空间上的Toeplitz算子序列的总体紧性进行了刻画,这是单个算子情形的推广。

In the second chapter, the KDV type equation on unbounded domain is considered. Applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained.

在第二章中,运用带权空间构造一类紧算子和算子分解的方法,研究了无界区域上的KDV型方程,得到了该方程指数吸引子的存在性。

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