| 碰撞分支Q-矩阵生成的Markov积分半群 |
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| 引用本文： | 付丽,李扬荣. 碰撞分支Q-矩阵生成的Markov积分半群[J]. 西南大学学报, 2009, 31(6) |
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| 作者姓名： | 付丽 李扬荣 |
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| 作者单位： | 西南大学,数学与统计学院,重庆,400715 |
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| 基金项目： | 西南大学发展基金资助项目 |
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| 摘 要： | 首先证明了碰撞分支Q-矩阵在Banach空间l∞上能生成一个积分半群T(t),且当m1≤0时它的生成元是Q∞,当m1＞0时它的生成元是Qo**.事实上,T(t)是一个Markov积分半群.然后论证了当m1＞0时,T(t)满足Feller性质.Abstract：This paper aims to prove that the collision branching q-matrix can generate an integrated semigroup T(t)on l∞ and that if m1 ≤ 0, its generator is Q∞; if m1 ＞ 0, its generator is Qo** . In fact, T(t) is just a Markov integrated semigroup. Also, we obtain that if m1 ＞ 0, this integrated semigroup has the Feller property.
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| 关 键 词： | 碰撞分支Q-矩阵 Q-积分半群 Feller转移函数 |
The Markov Integrated Semigroup Generated by the Collision Branching Q-matrix |
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| FU Li,LI Yang-rong. The Markov Integrated Semigroup Generated by the Collision Branching Q-matrix[J]. Journal of Southwest Agricultural University, 2009, 31(6) |
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| Authors: | FU Li LI Yang-rong |
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