Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications

We discuss the existence of fixed point for a class of nonlinear operators by a combination of topological and variational method. The theoretical results are applied to second order dynamic equation with homogeneous Dirichlet boundary conditions.     

传统设计的桩基沉降与反力分布机理及对策分析

通过深入分析桩基沉降组成、应力传递机制、附加应力分布、施工过程中上部结构刚度的形成及其架越效应，揭示了传统设计的桩基蝶形分布沉降与马鞍形分布反力形成的机理．均匀等刚度布桩是蝶形沉降的根源，桩顶反力马鞍形分布主要缘于地基蝶形差异沉降及基础和上部结构的刚度效应．有针对地提出了减轻这种不利分布影响的概念设计对策．     

半乳糖寡糖的生物活性

对利用固定化β－半乳糖苷酶连续合成的半乳糖寡糖进行了有关生物活性的研究。通过双歧杆蓖培养实验和动物试验证实了半乳糖寡糖具有高效，专一地促进双歧杆菌生长，改善动物肠道内菌群分布，促进钙的吸收，提高食物的转化率，降低血清胆固醇含量及盲肠内ｐＨ等生物活性。     

An Extended Application form of Mobile Computing──Augmented Reality

With the rapid developments of wireless communication and microelectronic technology, the bandwidth of wireless communication is becoming wider than ever, up to 100Gbps and the computer can be designed as small as a match with powerful computing and controlling capability. These rapid developments have extended the mobile computing. There are many application forms of mobile computing, such as mobile databases, mobile data management, wearable computing etc. A great branch of mobile computing, Augmented Reality (AR), which is the combination of mobile computing and wearable computers was discussed.     

关于数学分析教学中的一些体会

章先讨论了数学的研究方法和数学分析所基于的公理系统，其次给出了有理指数乘幂的性质的证明。     

我国高岭土发展现状及我区煤系高岭土开发应用

对我国高岭土，尤其是煤系高岭土的储量，产量，性质，用途，发展现状和市场状况以及我国与先进国家在高岭土开发利用方面所存在的差距做了介绍，提出了内蒙古高岭土开发利用的建立。     

Numerical algorithm for parabolic problems with non-classical conditions

The parabolic problems with non-classical conditions are discussed in a reproducing kernel space in this paper. A reproducing kernel space is constructed, in which the non-classical conditions of the parabolic problems are satisfied. Based on the reproducing kernel space, a new technique for solving the non-classical parabolic problems is presented. Some examples are displayed to demonstrate the validity and applicability of the proposed method.     

N,N‘—二（4,4,6,6—四甲基—4—哌啶基）—1,6—己二胺的合成

初步探讨了以三丙酮氨与己二胺为原料合成Ｎ，Ｎ‘－二（２，２，６，６－四甲基－４－哌啶基）己二胺，并对不同的工艺路线和反应的影响因素如催化剂、温度等进行了研究，发现以Ｐｄ／Ｃ为催化剂的一步法有着明显的三丙酮氨开环副反应，给出复杂的反应混合物，而以骨架镍为催化剂的两步法可得到收率接近８０Ｒ 光稳定剂９４４中间体。     

DDT Theorem over square-free numbers in short interval

We study the Ces`aro means related to the divisor function. We show that the DDT theorem holds over square-free numbers in short interval, which generalizes some results established by Deshouillers-Dress-Tenenbaum and by Cui-Wu.