| 积分半群的表示及其在抽象积微分方程中的应用 |
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| 引用本文： | 高德智. 积分半群的表示及其在抽象积微分方程中的应用[J]. 应用泛函分析学报, 2002, 4(4): 333-342 |
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| 作者姓名： | 高德智 |
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| 作者单位： | 山东科技大学信息科学与工程学院,山东,泰安,271019 |
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| 摘 要： | 讨论了积分半群与C0半群的关系,给出了用一组C0半群的积分序列的极限表示积分半群的表示公式.利用该公式证明了积分半群的其它表示式.最后用该公式给出了求解一类抽象积微分方程的新方法.
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| 关 键 词： | C0半群 积分半群 积微分方程 |
On Representation of Integrated Semigroups and Application to Abstract Integrodifferential Equation |
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| GAO De-zhi. On Representation of Integrated Semigroups and Application to Abstract Integrodifferential Equation[J]. Acta Analysis Functionalis Applicata, 2002, 4(4): 333-342 |
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| Authors: | GAO De-zhi |
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| Abstract: | In this paper, we discuss the relations between C0 -semigroups andintegrated semigroups and give a representation formulas of integrated semigroups by the convergence of integral of a sequence C0-semigroups. Using the representation, we prove other fomulas of integrated semigroups. Finally, we also consider abstract integrodifferential equation and present a new method to find solution. |
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| Keywords: | C0-semigroup integrated semigroup integrodifferential equation |
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