一类p-Laplacian方程混合边值问题三解的存在性

讨论了一类p-Laplacian方程边值问题,利用Leggett-Williams定理,给出在一定条件下具有三个解的存在性定理.     

关于可加算子的有界、强有界与连续性研究

研究了拓扑线性空间中可加算子的有界、强有界以及连续之间的关系，将线性算子的相关结论推广到了可加算子上，并得到了赋拟、准范空间的相应结论．     

HIs classification in HCR model for operator reliability study of nuclear power plants

The human cognition reliability model is used to study time-related human response interaction (HI). The classification of HI types is an important base. At present, the two types of HIS classification (i.e. SRK classification and CP classification) are based on subjective or objective characteristics respectively by which some phenomena can be hardly explained. Since the types were limited, they could not meet the requirements. The integrate approach of HIs classification is compatible with the original methods, and HIs are classified according to subjective and objective characteristics. The integrate approach contains more detailed types and has higher precision. It is more advantageous and convenient for the classification of HIs. The integrate approach has been used in the study of operator reliability for nuclear power plants in China. The results were satisfactory, and by which the integrate approach was verified.     

微分中值定理在n维欧氏空间中的推广

本文将微积分中关于一元函数的微分中值定理，即Ｒｏｌｌｅ定理，Ｌａｇｒａｎｇｅ定理，Ｃａｕｃｈｙ定理，推广到了多元函数及向量值函数。     

试论公立非营利性医院的经营者主体资格

从事营利性服务似乎是界定公立非营利性医院作为经营者的标准，而法律对于什么是营利性服务并没有进一步规定。公立非营利性医院是否属于经营者，不仅是《反不正当竞争法》司法实践中遇到的主体资格问题，也是（《消费者权益保护法》司法实践中经常面临的先决问题。     

Banach空间一阶微分方程周期解的存在唯一性

在一般Banach空间中，利用单调迭代方法获得了一阶微分方程周期解的存在唯一性，并给出了逼近解的迭代序列的误差估计。     

变尺度梯度投影算子的一些性质

变尺度梯度投影算法是解决带约束非线性规划问题的一个常用方法，本文主要给出变尺度梯度投影算子的一些性质。     

u0 - 凸算子的不动点存在唯一性及其应用

该文利用锥理论与单调迭代技巧讨论了u0-凸算子的不动点的存在唯一性,得到了在不具有连续性和紧性的条件下u0-凸增算子的新的不动点定理,并将所得的结果应用Hammerstein积分方程中.     

三角矩阵空间上保伴随矩阵的加法算子

刻划了任意域上的三阶上三角矩阵空间保伴随矩阵的加法算子的结构。     

一类半线性椭圆型方程边值问题的可解性

本文利用不动点定理讨论了一类半线性椭圆型方程正解的存在性、不存在性与唯一性。