A note on the perturbed compound poisson risk model with a threshold dividend strategy

In this paper, we consider the Perturbed Compound Poisson Risk Model with a threshold dividend strategy （PCT）. Integro-differential equations （IDE） for its Cerber-Shiu functions and dividend payments function are stated. We maily focus on deriving the boundary conditions to solve these equations.     

变号扰动问题正解存在性的几点注记

本考虑了一类变号扰动的两点边值问题，得到了几个关于正解存在性的结论.     

关于布朗运动的一个注记

本对布朗运动的一个充要条件给出另一种证明．     

自由群的直积的检验元素的注记

本文研究了自由群的直积的检验元素,通过对直积的自同态的分解,得到了直积中的元素为检验元素的充分必要条件,改进了O'neill和Turner的结果.此外,构造了两类具体的检验元素.     

关于向量优化的适定性和凸性的一个注记

举出一个反例说明在论文(Math Meth Oper Res,2003,58:375-385)中,关于向量优化问题的适定性的一个主要结果是错的     

关于连续型随机变量的γ—位数的一点注记

本讨论了连续型随机变量的γ—位数的若干结论，作为教学的一点补充。     

A Note about Parabolic Systems and Analytic Semigroups

We investigate the question whether certain parabolic systems in the sense of Petrovskii fulfill the resolvent estimate required for the generation of an analytic semigroup and apply the result to a problem concerning the diffusion of gases.     

预拟不变凸函数判别准则的注记

Yang et al gave some criteria of prequasi-invex functions,semistrictly prequasi-invex functions and strictly prequasi-invex functions in 2001 ,under a certain set of conditions. In this note,some of these conditions can be weakened to get the same results ,and another simplified proof for a criterion of prequasi-invex functions established under the condition of lower semicontinuity is given.