线性拓扑空间一些泛函存在性的特征

本文研究线性拓扑空间上存在连续 (β,k)范数、 (β,k)半范数的特征 ,给出一类赋 p -范空间上存在无界且在某点半连续的 (β,k)凸泛函的特征是 k 2 βp - 1,给出可赋 (β,k) -范空间可赋与p -范的精确关系 .本文结果推广了文 [6 -9]中的有关结果     

A HYBRID METHOD FOR ANALYZING THE DYNAMIC RESPONSES OF CAVITIES OR SHELLS BURIED IN AN ELASTIC HALF-PLANE

In this paper, based on a variational formalism which originally proposed by Mei [1] for infinite elastic medium and extended by Yeh, et al. [2,3] for elastic half-plane, a hybrid method which combines the finite element and series expansion method is implemented to solve the diffraction of plane waves by a cavity buried in an elastic half-plane. The finite domain which encloses all inhomogeneities including the cavity can be easily formulated by finite element methods. The unknown boundary data obtained by subtracting the known free fields from the total fields which include the boundary nodal displacements and tractions at the interface between the finite domain and the surrounding elastic half-plane are not independent of each other and can be correlated through aseries repre sentation. Due to the continuity condition at the interface, the same series representation is still valid for the exterior elastic half-plane to represents the scattered wave. The unknown coefficients of this series are treated as generalized coordinates and can be easily formulated by the same variational principle. The expansion function of the series is composed of basis function. Each basis function is constructed from the basis function for an infinite plane by superimposing an additional homogeneous reflective term to satisfy both traction free conditions at ground surface and radiation conditions at infinity. The numerical results are made against those obtained by boundary element methods, and good agreements are found.     

半无限平方晶格的晶格格林函数

给出了正确描述最近邻相互作用下半无限平方晶格的哈密顿量,进而利用矩阵格林函数方法求出半无限平方晶格的晶格格林函数。 关键词：     

电子气的化学势随温度的变化

本文较为详细地计算了低维电子气的化学势随温度的变化关系，结果表明低维电子气的化学势随温度的变化关系和三维电子气是不同的。     

关于伪投射模（英）

本文的主要目的是给出投射模的一个特征性质，从而说明1984年A.K.Tiwary等人关于伪投射模的一个结果是不成立的.此外，本文给出了投射模、半单模以及伪投射模之间的一些关系，并用伪投射模给出了半单环的一个特征性质.     

半正定复方阵的Kronecker乘积

本文应用半正定（未必是Ｈｅｒｍｉｔｅ）复方阵在合同下的标准形给出两个半正定（未必是Ｈｅｒｍｉｔｅ）复方阵的Ｋｒｏｎｅｃｋｅｒ乘积为半正定的充要条件     

投射直向表示代数

本文给出了有限维结合代数上 last 投射模直向的判别.并讨论了任一不可分解投射模都直向的代数的 AR-箭图上模的直向性.     

一类平面五次系统的定性分析

本文研究平面五次系统（１．１），应用［４，５］的最新结果，给出了奇点Ｏ（０，０）为中心的充要条件和焦点量公式，以及（１．１）至多有一个，二个极限环的充分条件．     

关于Lagrange内插过程的“1／2”平均

本文研究了以Ｃｈｅｂｙｓｈｅｖ多项式的零点为插值节点的Ｌａｇｒａｎｇｅ插值过程“１／２”平均算子，给出了点态收敛阶，并重新证明了Ａ．Ｆ．Ｔｉｍａｎ定理。     

The Degree Theory of a New Operator

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＩｔｉｓｗｅｌｌｋｎｏｗｎｔｈａｔｔｈｅｄｅｇｒｅｅｔｈｅｏｒｙｆｏｒａｋ－ｓｅｔ－ｃｏｎｔｒａｃｔｏｐｅｒａｔｏｒｈａｓｍａｎｙａｐｐｌｉｃａｔｉｏｎｓｏｎｔｈｅｅｘｉｓｔｅｎｃｅｏｆｔｈｅｓｏｌｕｔｉｏｎｓｏｆｓｏｍｅｅｑｕａｔｉｏｎｓ（ｓｅｅ［１］，［２］，［３］）．Ｈｏｗｅｖｅｒ，ｓｏｍｅｏｐｅｒａ－ｔｏｒｓａｒｅｎｏｔｋ－ｓｅｔ－ｃｏｎｔｒａｃｔｏｐｅｒａｔｏｒｓ．Ｉｔｉｓａｎｅｗｐｒｏｂｌｅｍｔｈａｔｗｅｅｓｔａｂｌｉｓｈａｄｅｇｒｅｅｔｈｅｏｒｙｆｏ…