摘要
本文考虑形如Q=(■)的拟Q-矩阵,其中el<∞,且Q_b不要求全稳定。假定存在Q_b过程ψ(λ),记Pψ(λ)(Q)={R(λ):R(λ)为Q过程且_bR(λ)=ψ(λ)}称为由ψ(λ)生成的过程类。本文给出P_φ(λ)(Q)非空,即由ψ(λ)生成的过程存在的充要条件。利用这一结果,在Q的非保守量有界时,给出了可和单瞬时F型Q过程的存在准则。
Let Q=(■) be a quasi Q-martix,where el<+∞,Q_b needn't be totally stable ψ(λ)is supposed to be a Q_b-process,Written as P_(φ(λ))(Q)={R(λ):R(λ)being a Q-process and _bR(λ)=ψ(λ)} and called a class of processes generated by ψ(λ).In this paper, it is given the necssary and sufficient conditions for P_φ(λ)(Q) is noempty.With the application of this result,the necessary and sufficient conditions for the existing of F-type Q-processes are given,Where Q_b is all stable and d_i<+∞.
出处
《长沙铁道学院学报》
CSCD
1991年第1期80-86,共7页
Journal of Changsha Railway University
