摘要
本文研究无穷微分方程组: d/(dt)P(t)=p(t)·A(t) P(0)=(1,0,0,…) (1)的正规解的唯一性,其中A(t)形如非时齐生灭过程的Q矩阵.证明了上式存在最小非负解并获得了使上式有唯一正规解的若干条件,所有结果较之时齐情况深刻得多.
In this paper we research so called non-homogeneuous birth and death differential equations. We first prove existence of minimal nonnegative solutions and obtain three theorems which give respectively uniqueness conditions of normal solution for this equations.
出处
《郑州大学学报（自然科学版）》
CAS
1992年第1期6-12,共7页
Journal of Zhengzhou University (Natural Science)
关键词
生灭系数
正规解
唯一性
生灭过程
birth and death coefficient
normal solution
uniqueness
