| α次积分半群的扰动(英文) |
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| 引用本文： | 刘颖,强静仁,李淼.α次积分半群的扰动(英文)[J].四川大学学报(自然科学版),2010,47(5):973-976. |
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| 作者姓名： | 刘颖 强静仁 李淼 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 基金项目： | 国家自然科学基金(10501032) |
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| 摘 要： | 积分半群具有较差的扰动性,其生成元即使在有界扰动下也不一定能生成积分半群.但Kellerman和Hieber证明了整数次积分半群的生成元在有界交换扰动下仍能生成整数次积分半群.本文将他们的结果推广到了分数次积分半群的情形.
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| 关 键 词： | α-次积分半群 生成元 扰动 |
Pertubations of α-times integrated semigroups |
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| LIU Ying,Qiang Jing-Ren,LI Miao.Pertubations of α-times integrated semigroups[J].Journal of Sichuan University (Natural Science Edition),2010,47(5):973-976. |
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| Authors: | LIU Ying Qiang Jing-Ren LI Miao |
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| Institution: | College of Mathematics, Sichuan University;College of Mathematics, Sichuan University;College of Mathematics, Sichuan University |
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| Abstract: | The pertubations for integrated semigroups are very weak,a generator of an integrated semig roup is no longer a generator even under bounded perturbations. However, Kelleman and Hieber showed that if perturbing a generator of an n-times integrated semigroup by a commuting bounded operator, then it remains a generator. In this paper the authors generalize their result to the case of fractional inte grated semigroups. |
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| Keywords: | α-times integrated semigroups generator pertubation |
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