| 广义算子半群遍概率逼近问题研究 |
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| 引用本文： | 仓定帮,魏静,隋丽丽,葛世刚.广义算子半群遍概率逼近问题研究[J].安徽大学学报(自然科学版),2017,41(2). |
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| 作者姓名： | 仓定帮 魏静 隋丽丽 葛世刚 |
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| 作者单位： | 华北科技学院基础部,北京,101601 |
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| 基金项目： | 中央高校基本科研基金资助项目，华北科技学院重点学科基金资助项目 |
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| 摘 要： | 广义算子半群作为经典算子半群的推广,可以较好地解决广义参数分布系统问题.借助广义连续修正模、二阶Steklov算子及算子值数学期望,对广义算子半群的概率逼近问题进行了研究.针对几种常见的概率分布,给出了广义算子半群的概率逼近形式.
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| 关 键 词： | 广义算子半群 连续修正模 概率逼近 |
Probabilistic approximations for generalized operator semigroups |
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| CANG Dingbang,WEI Jing,SUI Lili,GE Shigang.Probabilistic approximations for generalized operator semigroups[J].Journal of Anhui University(Natural Sciences),2017,41(2). |
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| Authors: | CANG Dingbang WEI Jing SUI Lili GE Shigang |
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| Abstract: | As a generalization of the classical semigroups,generalized semigroup was very useful for solving the well-posedness problem of singular distributed parameter system.By means of generalized continuous modified modulus,the second steklov operator and operator-valued mathematical expect the probabilistic approximation theories were given for generalized operator semigroups.The probabilistic approximations representation was given for several common probability distributions. |
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| Keywords: | generalized operator semigroup continuous modified modulus probabilistic approximations |
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