| 指数有界积分C半群界的估计 |
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| 引用本文： | 荣嵘.指数有界积分C半群界的估计[J].南京大学学报(自然科学版),2014,31(1):67-74. |
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| 作者姓名： | 荣嵘 |
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| 作者单位： | 徐州工程学院数理学院,徐州221111;中国矿业大学信电学院,徐州221008 |
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| 基金项目： | 国家自然科学基金项目，国家自然科学基金青年科学基金项目，中央高校基础科研专项基金，江苏省普通高校自然科学基金项目，徐州工程学院教研课题 |
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| 摘 要： | 本文以积分C半群生成定理的Laplace逆变换形式为基础,利用积分C半群的性质,借助Cauchy留数定理与预解式增长阶假设,得到了指数有界积分C半群界的估计式.
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| 关 键 词： | 指数有界积分C半群 Laplace逆变换 界的估计 预解式增长阶假设 |
ESTIMATE OF BOUND FOR EXPONENTIALLY BOUNDED INTEGRATED C-SEMIGROUPS |
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| Rong Rong.ESTIMATE OF BOUND FOR EXPONENTIALLY BOUNDED INTEGRATED C-SEMIGROUPS[J].Journal of Nanjing University: Nat Sci Ed,2014,31(1):67-74. |
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| Authors: | Rong Rong |
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| Institution: | Rong Rong( 1.Xuzhou Institute of Technology, 221111, Xuzhou PRC;China University of Mining ＆ Technology, 221008, Xuzhou PRC;) |
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| Abstract: | We basing on the generation theorem in terms of the Laplace inverse transformation and the properties of exponentially bounded integrated C-semigroups,estimate of bound for exponentially bounded integrated C-semigroups is obtained,by using Cauchy residue theorem and the Resolvent Growth Assumption. |
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| Keywords: | exponentially bounded integrated C-semigroups Laplace inverse transformation estimate of bound Resolvent Growth Assumption |
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