脉冲条件下具周期时滞的竞争模型的周期正解

使用Mawhin重合度理论的连续性定理和拓扑度理论，对脉冲条件下具周期时滞的竞争模型进行研究，得到了该模型周期正解存在的充分必要条件．     

关于Lucas猜想的简洁初等证明

利用简洁初等方法证明了Lucas方程x(x 1)(2x 1)=6y^2仅有正整数解（x,Y)=(1,1),(24,70),获得了丢番图方程x(x 1)(2x 1)=2py^2有正整数解的充要条件。     

有疾病潜伏期的传染病动力学模型

从不考虑种群动力学因素和添加种群动力学因素两种情形出发,在双线性发生率、标准发生率和βNαSI/N(α位于0.03和0.07之间)发生率下,建立了有疾病潜伏期的等各种传染病动力学模型。     

一类半线性二维积分微分方程

考虑线性粘弹性板振动所引出的半线性积分微分方程的初边值问题，通过解的先验估计利用Leary-schauder不动点定理在某些条件下得到了初边值问题锵的存在唯一性。     

三分量开边界Bariev模型的基本对易关系式及多粒子态波函数

运用三分量开边界Bariev模型的monodromy矩阵,T,T-1,U-,作用到真空态上的值、Yang-Baxter关系及反射方程,给出了该模型的基本对易关系式,并给出了模型的递推的多粒子态波函数,从而为进一步运用嵌套的代数Bethe ansatz方法求解该模型的多粒子解Betheansatz方程以及系统的能谱奠定了基础。     

关于丢番图方程x2±y4=z3

利用数认方法,获得了丢番图方程x2±y4=z3的全部整数解公式.     

由“一句话“巧记热力学函数关系式

本文通过一句日常英语对话"How are you? Fine. Thanks.",在总结前人资料基础上,提炼出了用"一句话"的简便记忆热力学函数关系的方法.该方法经过在课堂上教学实践,取得了很好的效果.     

一类中立型微分方程最终正解的存在性和不存在性

讨论了一类中立型微分方程最终正解的存在性和不存在性，一些已知的结果被扩充和改进。     

从洛伦兹力公式导出电磁场变换方程

本文从满足相对论协变性要求的洛伦兹力公式出发,经洛伦兹变换,自然得到电磁场的变换方程.     

Assessment of expert-novice chemistry problem solving using HyperCard: Early findings

Results of a HyperCard method for assessing the performance of expert and novice high school chemistry students solving stoichiometric chemistry problems (balancing chemical equations) have been reported. The assessment involved the use of a HyperCard instrument (Hyperequation) developed on a Macintosh platform to administer a set of five chemistry problems, register student responses, and collect data related to student performance. The chemistry problems have been previously tested and validated in traditional (pen-paper) assessment settings by other researchers. MANOVA results indicate a significant difference between the performance of expert and novice students solving the five stoichiometric chemistry problems using the Hyperequation. The study shows promise in that a HyperCard assessment method could differentiate between the performance of experts and novices in problem solving. The implication is that HyperCard might be a suitable technology for developing performance assessment methods not only in chemistry but also in other science disciplines.