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刘再明 《数学年刊A辑(中文版)》1994,(6)
对于一般生灭矩阵Q(不必全稳定),文[1]解决了Q过程和不中断Q过程的存在性及唯一性问题.本文对含有限个瞬时态的生灭矩阵Q,构造了全部Q过程. 相似文献
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广生灭过程的遍历性及平稳分布 总被引:1,自引:0,他引:1
文献[1]研究了广生灭过程的向上积分型随机泛函,得到了广生灭过程的若干数字特征以及常返的充要条件,该文讨论广生灭过程向下积分型随机泛函,给出了广生灭过程遍历的充要条件以及平均返回时间的计算公式,并在遍历的条件下求出了广生灭过程的平稳分布. 相似文献
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本文考虑索赔次数到达过程是一类Cox过程的风险模型中的Gerber-shiu平均折现罚函数,建立该函数所满足的积分-微分方程,得出两状态下索赔量分布函数属于K_n-类时破产时间函数的具体表达式. 相似文献
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Consider the perturbed nonautonomous linear delay differential equation x(t) = - a(t)x(t-τ) + F(t, x1, t ⩾ 0 where x1(s)=x(t+s) for −δ≤s≤0. Suppose that a(t) ∈ C([0,∞), (0,∞)), τ≥0,F:[0, ∞) x C[−δ,0] → R is a continuous functions and F(t,0)
≡ 0. Here C[−δ,0] is the space of continuous functions Φ: [−δ,0] → R with ∥Φ∥<H for the norm | Φ |, where |·| is any norm
in R and 0<H≤+∞.
Most of the known papers [1–5,7] have been concerned with the local or global asymptotic behavior of the zero solution of
Eq. (*) when a(t) is independent of t i. e., a(t) is autonomous. The aim in this paper is to derive the sufficient conditions
for the global attractivity of the zero solution of of Eq. (*) When a(t) is nonautomous. Our results, which extend and improve
the known results, are even “sharp”. At the same time, the method used in this paper can be applicable to the perturbed nonlinear
equation.
Project supported by the Natural Science Foundation of Hunan 相似文献