一类变时滞泛函微分方程的渐近性和振动性

本文研究了一类一阶非线性中立型变时滞泛函微分方程d/dt[y(t)-sum from i=1 to m(p_i(t)y(t-r_i(t))]+integral from a to b(Q(t,ξ)F(y[g(t,ξ)])do(ξ))=0 (b>a)解的渐近性和振动性,得到了一些充分性定理,推广和改进了文[1],[2],[3]和[4]的主要结果。     

混沌现象的计算机模拟

采用C语言编程实现“虫口模型”的计算机模拟，可观察倍周期分岔现象及混沌运动的其它性质，对混沌理论的教学很有帮助。     

模糊优选动态规划在二维资源分配中的应用

针对量纲不一既有定量指标又有定性指标的二维资源分配问题，引入了指标的相对优属度矩阵并建立数学模型；提出用拉格朗日乘子法降维，再通过多目标模糊优选动态规划分析法进行求解这一算法：最后给出一个具体应用算例，并取得了满意的结果．     

一阶时滞微分方程解的零点分布

本文给出一阶时滞微分方程x′(t) p(t)x(t-τ)=0的解的相邻零点距的两个估计。     

基于网上数学实验设计开发——无约束非线性规划问题算法的实现

利用Visual J＋＋6．0作为开发工具，在Internet上实现无约束算法中梯度法和广义牛顿法的求解。     

曹植《三良诗》考辨

由于在曹植《三良诗》的创作时间问题上认识的混乱，人们对此诗诗旨之理解也是历来颇多争议。从字面上看，诗意似前后矛盾。此诗当作于建安二十年或其后，尤以武帝死后或帝死后为最有可能；该诗是诗人自鸣中怀之作，诗中所表忠义确系真心。     

A multi-peer assessment platform for programming language learning: considering group non-consensus and personal radicalness

Multi-peer assessment has often been used by teachers to reduce personal bias and make the assessment more reliable. This study reviews the design and development of multi-peer assessment systems that detect and solve two common issues in such systems: non-consensus among group members and personal radicalness in some assessments. A multi-peer assessment model is proposed to address these issues. The model captures roles, activities, and data structures in a typical multi-peer assessment setting that can be generalized to other scenarios. We implemented the model in a multi-peer code review system and conducted several empirical experiments in programming language classes. The studies showed that the model can significantly improve student learning outcomes than in a single-peer assessment. Also, we used statistical measures to detect non-consensus and radicalness issues that often occur in the model. The results reveal many insights and provide valuable guidance for teachers to implement a multi-peer assessment system.     

摄动方法在生态学模型中的应用

应用摄动理论中的平均法 ,给出了一类含常数时滞的生态学模型近似解的求解思路和方法 ,并解释了其在生态学中的意义 .     

一类时滞双曲型微分方程解的强迫振动性

借助其特征方程 ,获得了一类时滞双曲型微分方程解的强迫振动的若干充分条件     

具非线性中立项时滞微分方程解的振动性

研究了具非线性中立项时滞微分方程[x(t)-p(t)x^n(t-τ)]’ q(t)x^3(t-σ)=0，t≥t0，解的振动性和非振动性，推广了已有的结果并获得一些新的结果。