脉冲时滞抛物型方程解的振动准则

本文研究含脉冲的时滞抛物型方程解的振动性，在两类不同边界条件下得到了若干解的振动准则．  

一类二阶具偏差变元的微分方程周期解

本文利用重合度理论研究一类二阶具偏差变元的微分方程x＇＇（t）+f（t,x（t）,x（t-τ0（t）））x＇（t）+β（t）g（x（t-τ1（t）））=p（t）的周期解问题,得到了存在周期解的新的结果.  

具偏差变元的Rayleigh方程周期解问题

利用Mawhin重合度拓展定理研究了一类具偏差变元的Rayleigh方程x”(t)+f(x'(t))+g(x(t-τ(t)))=p(t)周期解问题,得到了周期解存在性的若干新的结果,推广了已有的结果(见文[8]).  

一类非线性边值问题正解的存在性

本文运用锥上的不动点理论，讨论了一类与一阶导函数有关的二阶奇性混合边值问题的正解存在性．  

一类非线性偏泛函微分方程的强迫振动性

讨论了一类时滞双曲方程边值问题，给出了该类方程在三类边界条件下解的振动条件.  

一类二阶泛函微分方程周期解存在性问题

利用重合度理论研究一类二阶泛函微分方程x″(t)+f(t,x_t)x′~n+β(t)g(x(t-τ(t)))=p(t)的周期解问题,本文得到了周期解存在的新的结果。  

半无穷区间二阶微分方程边值问题的多个正解的存在性

利用Leggett-Williams不动点定理,研究半无穷区间边值问题的多个正解的存在性．  

时滞差分方程周期正解的存在性

本文考虑了一类非线性离散种群模型周期正解的存在性.  

一类时滞多非线性Lurie控制系统的绝对稳定性

本文用Lyapunov泛函方法，对具有多个非线性控制项的时滞Lurie控制系统的绝对稳定性进行了研究，并得出了一些实用的充分条件，推广了文[1]的结果一个简洁的例子说明了本文结果的有效性．  

Fiducial inference in the pivotal family of distributions

In this paper a family, called the pivotal family, of distributions is considered. A pivotal family is determined by a generalized pivotal model. Analytical results show that a great many parametric families of distributions are pivotal. In a pivotal family of distributions a general method of deriving fiducial distributions of parameters is proposed. In the method a fiducial model plays an important role. A fiducial model is a function of a random variable with a known distribution, called the pivotal random element, when the observation of a statistic is given. The method of this paper includes some other methods of deriving fiducial distributions. Specially the first fiducial distribution given by Fisher can be derived by the method. For the monotone likelihood ratio family of distributions, which is a pivotal family, the fiducial distributions have a frequentist property in the Neyman-Pearson view. Fiducial distributions of regular parametric functions also have the above frequentist property. Some advantages of the fiducial inference are exhibited in four applications of the fiducial distribution. Many examples are given, in which the fiducial distributions cannot be derived by the existing methods.