摘要
研究了一般突变q-矩阵Q在l∞上生成一个压缩积分半群的充要条件,并且Q可在l∞上生成一最小的积分Q-半群T(t),讨论了T(t)单调的充要条件,给出了T(t)是Feller的充分条件,并讨论了T(t)关于时间t的极限行为.
In this paper, we give the sufficient and necessary conditions for a general birth, death and catastrophe q - matrix Q generating a contraction integrated semigroup on l∞, and show that Q generates a minimal integrated Q- semigroup T(t) on l∞. A sufficient and necessary condition for T(t) to be monotone is also given. Finally, the Feller property of T(t) and its limit behaviour as time t tends to infinity are discussed.
出处
《西南大学学报(自然科学版)》
CAS
CSCD
北大核心
2008年第10期32-37,共6页
Journal of Southwest University(Natural Science Edition)
基金
西南大学发展基金资助项目(20700501).
关键词
突变过程
压缩积分半群
积分Q-半群
单调性
Feller性
catastrophe process
contraction integrated semigroup
integrated Q-semigroup
monotonicity
Fellerproperty