应用数学学报
應用數學學報
응용수학학보
ACTA MATHEMATICAE APPLICATAE SINICA
2009年
5期
799-809
,共11页
随机环境中马氏过程%随机分枝转移密度矩阵%随机环境中分枝q-过程%零流入
隨機環境中馬氏過程%隨機分枝轉移密度矩陣%隨機環境中分枝q-過程%零流入
수궤배경중마씨과정%수궤분지전이밀도구진%수궤배경중분지q-과정%령류입
Markov process in random environment%random branching transition density matrix%branching q-process in random environment%zero input
引进了机环境中一致马氏过程,随机分枝q-矩阵和随机环境中分枝q-过程.给了随机环境中分枝q-过程存在性和唯一性的充分条件.最后证明了任意随机分枝转移密度矩阵都是零流入的.
引進瞭機環境中一緻馬氏過程,隨機分枝q-矩陣和隨機環境中分枝q-過程.給瞭隨機環境中分枝q-過程存在性和唯一性的充分條件.最後證明瞭任意隨機分枝轉移密度矩陣都是零流入的.
인진료궤배경중일치마씨과정,수궤분지q-구진화수궤배경중분지q-과정.급료수궤배경중분지q-과정존재성화유일성적충분조건.최후증명료임의수궤분지전이밀도구진도시령류입적.
The concepts of uniform Markov processes in random environment, branching q-process in random environment and random branching transition density matrix are introduced. Moreover, the exis-tence and uniqueness for branching q-process in random environment are obtained. Finally, we prove that all the random branching transition density matrices are zero input under very weak conditions.
