Banach空间二阶微分方程的周期解

研究了有序Ｂａｎａｃｈ空间中二阶微分方程周期解的存在性,利用凸锥理论与上、下解方法获得了周期解的存在性结果,并把Ｌｅｅｌａ关于二阶常微分方程的结果推广到了无限维空间．     

多孔介质应力关系方程

Ｔｅｒｚａｇｈｉ方程（σ＝σＧ＋Ｐ）是描述多孔介质应力关系的经典方程,由于方程同时定义了二个不可测量,因而是不实用的;方程没有引入反映多孔介质特性的最重要参数（φ）,因而是不妥当的;鉴于方程存在的问题,本文对其进行了深入的研究,重新建立了多孔介质应力之间的关系方程：σ＝φＰ＋（１－φ）σＧ;由于φ的引入,新方程更全面、更合理地反映了多孔介质固有的力学特性．     

体上矩阵方程AXB=C的（反）次自共轭解

设Ｆ是一个具有对合反自同构的体,定义了Ｆ上的（反）次自共轭矩阵,给出了Ｆ上的矩阵方程ＡＸＢ＝Ｃ有（反）次自共轭解的充要条件及其解的表达式。     

The Juancheng chondrite──A new meteorite falling recently in China

The Juancheng chondrite, a new meteorite falling recently in Juancheng County, Shandong Province, China, is classified as an H5 (S2) chondrite based on the compositions of olivine (Fa= 19.2, σ Fa=0.46) and low-Ca pyroxene (Fs=16.9, σ Fa=0.4). The plagioclase in the Juancheng chondrite is rich in CaO, indicating a relatively high metamorphic temperature the parent body underwent.     

Properties of a supercritical superdiffusion and solutions of its corresponding differential equation

The range and the nonextinction property of a supercritical superdiffusion and solutions of its corresponding differential equation are studied. It is pruved that under a suitable condition, the conditioned superprocess of the supercritical superdiffusion is a subcritical superdiffusion.     

一类二阶非线性微分方程解的性质

在一定条件下,研究了一类二阶非线性微分方程解的性质,分析了其解的单调性、振动性以及其解有界的充分必要条件,并讨论了其解在单调有界的条件下当ｔ→＋∞时的渐近性质。     

微量钠离子浓度测量方法

从能斯特方程出发,考虑到国产ＣＮａ电极的离散性,给出实用的数学模型,并用ＭＣＳ－５１单片机构成高性能价格比的微量钠离子检测仪。     

以圆周为界面两相材料多裂纹反平面问题

运用复变函数及积分方程方法,求解了以圆周为界面的两相材料中的多裂纹反平面问题．为解决该问题,建立了两种类型的基本解,分别对应于单裂纹在圆域内和圆域外的情形．利用叠加原理和所得的基本解把两相材料中的多裂纹问题化为单裂纹问题的叠加,得出了一组以基本解密度函数为未知函数的Ｆｒｅｄｈｏｌｍ积分方程组．通过对该积分方程组的数值求解,可以得出密度函数的离散值,进而得出裂纹尖端的应力强度因子．文中对于两条裂纹分别位于圆域内和圆域外以及两条裂纹均在圆域外的情形进行了数值计算．     

On analytical treatment of all boundary and volume integrals in BEM

In this paper, the integrals appeared in BEM model for Poisson equation are all implemented analytically. Wherein, the boundary and the domain are discretized by linear boundary elements and linear internal triangle cells respectively. The closed formulations for all integrals are presented so that the computer effort for numerical solution is reduced considerably with higher accuray. The numerical example shows that the results are more accurate in comparision with Gaussian integration in the same discrezition. The basic idea of this paper could be extended to BEM model for Helmholtz equation and/or the time-dependent second other differential equations. Supported by the National Natural Science Foundation of China Tang Shaowu: born in 1971, Ph. D.     

关于时滞Liénard型方程的周期解

本文研究具有时滞的Lienard型方程周期解的存在性,得到了一些新的结果。