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∞.
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。