含瞬时态的B型Q过程(Ⅰ)

The B Type Q Processes with Instantaneous States

D.Williams[1] 把全稳定态B 型Q 过程的概念推广到含瞬时态的情况,并且解决了全瞬时态不中断B 型Q 过程的存在性问题和唯一性问题.我们讨论既含瞬时态又含稳定态的B 型Q 过程.[2] 介绍了含瞬时态B 型Q 过程的若干性质.本文对含有限个瞬时态无穷个稳定态的情况,分别解决了B 型Q 过程和不中断B 型Q 过程的存在性问题和唯一性问题.

D.Williams[1] extended the definition of the B type Q processesto the case that the Q has instantaneous states,and solved theproblems of the existence and the uniqueness of the honest B typeQ processes whose all states are instantaneous.We study the B type Q processes which have both instantaneousstates and stable states.We have already given some properties ofthe B type Q processes with instantaneous states(see[2] ).Inthis paper,we have respectively solved the problems of the exis-tence and the uniqueness of the B type Q processes and the honestB type Q processes for the case that the Q has finitely manyinstantaneous States and infinitely many stable states.