| T(t)积分半群 |
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| 引用本文： | Yang Lushan. T(t)积分半群[J]. 大学数学, 1998, 0(2) |
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| 作者姓名： | Yang Lushan |
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| 作者单位： | 解放军信息工程学院信息研究系 |
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| 摘 要： | 本文引入Ｔ（ｔ）积分半群的概念，它是ｎ次积分半群［１］及α次积分半群［２］的推广．我们给出Ｔ（ｔ）积分半群的定义、生成定理，并讨论相应的一类积分型抽象Ｃａｕｃｈｙ问题解的存在唯一性．
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| 关 键 词： | T（t）-积分半群 生成元 生成定理 |
T(t)Integrated Semigroups |
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| Abstract: | In this paper the concept of T(t)integrated semigroups is introduced as a generalization of n times integrated semigroups and α times integrated semigroups. The definition of T(t)integrated semigroups and the generation theorem are provided, and the existence and uniqueness of a class of integral abstract Cauchy problems associated with T(t)integrated semigroups is discussed. |
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| Keywords: | T(t)integrated semigroup generator generation theorem. |
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