最优吸收截面的存在性

对被真空包围的无穷平行平板，运用勒贝格控制收敛定理和Ｃａｕｃｈｙ－Ｓｃｈｗａｒｔｙ不等式，给出稳态中子迁移系统最优吸收截面的存在性。     

分隔区域模型正周期解的存在性与唯一性

运用非线性泛函中的锥压缩不动点原理，证明了在一定条件下，一类描述分隔区域模型非线性积分方程正周期解的存在性与唯一性。     

关于Diophantus方程Cx~2+2~mD=y~p

设C>0,D>0且D无>1的平方因子。本文在虚二次域中考虑Diophantus方程(C,2D)=1,ρ奇素数(1)的解.设h(—CD)是的理想类数,我们有 定理1 设CD(?)3(mod8),(?)     

用“多化一”最小二乘法建立吸附动力学方程

用若干个一元最小二乘法，建立多元经验公式；以吸附动力学方程为例，取得了预期的结果。     

卷积型积分微分方程解的渐近稳定性

研究了一类卷积型积分微分方程，利用李雅普诺夫方法，给出了判定n维系统中卷积型积分微分方程的零解一致渐近稳定性的定理以及其Volterra方程的零解渐近稳定性的定理，推广了已有的结果。     

高维离散非线性Schrdinger方程的离散呼吸子的存在性

讨论有阻尼和周期外力驱动的高维离散非线性Schr dinger方程的离散呼吸子的存在性.我们使用延拓定理证明了当阻尼δ和外力h满足h>δ时,存在频率为ω的离散多重呼吸子,其中ω>h2-δ2.     

Studies of Several Systems with Air Electrode Electro-Synthesizing H2O2 on the Spot for Degrading Aniline in Aqueous

A gas diffusion electrode (air electrode) with a high current efficiency of electro-synthesizing H2O2 using O2 in air was prepared. The several systems with air electrode as cathode of electro-synthesizing H2O2 on the reaction spot for degrading aniline in aqueous--electro-Fenton system, photo-excitation electro-H2O2 system and photo-electro-Fenton system, were developed. The rates of decomposition of H2O2 and mineralization of aniline were experimentally measured respectively under different conditions, and the results indicated there has an excellent parallel relation between decomposition rate of H2O2 and mineralization rate of aniline. Especially, photo-electro-Fenton system, where H2O2 is decomposed the fastest, is the best system of oxidizing and degrading organic toxicants. Compared photo-electro-Fenton system with photo-Fenton system, important role is revealed in the interface of air electrode. In this paper, the mineralization mechanism of aniline in the photo-electro-Fenton system was also discussed.     

《高等几何》学习指导

本文对《高等几何》课程中有关仿射变换、射影平面、一维射影几何学、三点形与三线形、四点形与四线形等内容的一些典型习题给出了详细的解答，有的习题还给出了多种解法。