带壁生灭过程的定性理论

杨向群, 肖临, 汪和松

数学学报 ›› 2010, Vol. 53 ›› Issue (5) : 1019-1026.

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数学学报 ›› 2010, Vol. 53 ›› Issue (5) : 1019-1026. DOI: 10.12386/A2010sxxb0113
论文

带壁生灭过程的定性理论

    杨向群1, 肖临1,2, 汪和松1,3
作者信息 +

The Qualitative Theory for Birth and Death Processes with Barrier

    Xiang Qun YANG1, Lin XIAO1,2, He Song WANG1,3
Author information +
文章历史 +

摘要

研究带壁生灭过程(BDP)的定性理论.按照壁0的分类, 边界点Z的分类,BDP是否诚实, 是否满足向后或 向前方程组,存在许多组合类型的BDP.对于每一种类型的BDP, 或者没有, 或者仅一个,或者有无穷多个.列出了一个详细的表.

 

Abstract

The qualitative theory for birth and death processes with barrier (BDP) is researched. According to kinds of barrier 0, kinds of boundary point Z, BDP is whether or not honest, whether or not satisfying backward equations or forward equations, there are many combinations and there are many types of BDPs. For each type there is not or only one, or there are infinitely many BDFs. A table obtained in detail.

 

关键词

带壁生灭过程 / 定性理论 / 壁的分类

Key words

birth and death process with barrier / qualitative theory / kinds of barrier

引用本文

导出引用
杨向群, 肖临, 汪和松. 带壁生灭过程的定性理论. 数学学报, 2010, 53(5): 1019-1026 https://doi.org/10.12386/A2010sxxb0113
Xiang Qun YANG, Lin XIAO, He Song WANG. The Qualitative Theory for Birth and Death Processes with Barrier. Acta Mathematica Sinica, Chinese Series, 2010, 53(5): 1019-1026 https://doi.org/10.12386/A2010sxxb0113

参考文献


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基金

国家自然科学基金(10571051,10871064);湖南省普通高校重点实验室创新平台开放基金(09K026)

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