| 抽象Volterra型积分方程注记 |
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| 引用本文： | 姚允龙.抽象Volterra型积分方程注记[J].汕头大学学报(自然科学版),1987(2). |
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| 作者姓名： | 姚允龙 |
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| 作者单位： | 汕头大学数学系 |
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| 摘 要： | 本文讨论在 Banach 空间上的抽象 Volterra 型积分方程解的存在唯一性及常数变易公式.本文提出了相当广泛的条件 Lu_N (见定义2).所得的结果适用于分布参数控制系统的无界控制问题的讨论.
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| 关 键 词： | 抽象 Volterra 型积分方程 Banach 空间 零集 算子 范数 |
Notes on Abstract Volterra's Integral Equations |
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| Yao Yunlong.Notes on Abstract Volterra's Integral Equations[J].Journal of Shantou University(Natural Science Edition),1987(2). |
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| Authors: | Yao Yunlong |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper is discussed the existence and the uniqueness of the solution for Abstract Volterra's Integral Equations on Banach space with Conditions Lu_N (see Definition 2) and the constant variant formula is obtained as well.The results of this paper can be applied to the discussion of the unbounded control of distributed parameter systems. |
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| Keywords: | Abstract Volterra's Integral Equations Banach space Null set Operation Norm |
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