The differentiability of the probability transition function of a purely discontinuous stationary Markoff process on the Euclidean space 欧氏空间上纯间断的时齐马可夫过程的概率转移函数的可微性
The fatigue crack growth under the random loads is described by a time discrete Markoff process. 齐次马尔可夫模型可以用于描述伪随机谱载荷下的裂纹扩展的随机过程。
The distribution function of crack length at given time can be calculated by integration of the initial crack length distribution and the transition function of Markoff process. 文中导出了用初始裂纹长度的分布及马尔可夫转移概率密度函数计算给定时刻裂纹长度分布的积分公式。