| C半群与无穷时滞抽象泛函微分方程的解 |
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| 引用本文： | 郁文生 徐安石. C半群与无穷时滞抽象泛函微分方程的解[J]. 四川大学学报(自然科学版), 1995, 32(2): 101-108 |
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| 作者姓名： | 郁文生 徐安石 |
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| 作者单位： | 四川大学数学系 |
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| 摘 要： | 利用Ｃ半群的基本理论，在满足某些基本公理的抽象相空间中，建立了一类具无穷时滞的抽象泛函微分方程Ｃａｕｃｈｙ问题ｍｉｌｄ解的存在唯一性定理，并且进一步讨论了ｍｉｌｄ解的正则性。
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| 关 键 词： | 半群 生成元 无穷时滞 正则性 泛函分析 |
C- SEMIGROUPS AND THE SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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| Yu Wensheng Xu Anshi. C- SEMIGROUPS AND THE SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. Journal of Sichuan University (Natural Science Edition), 1995, 32(2): 101-108 |
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| Authors: | Yu Wensheng Xu Anshi |
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| Affiliation: | Department of Mathematics |
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| Abstract: | By using the theory of C-semigroups , the authors investisate a class of abstractfunctional differential equations with infinite delay. The theorems about existence, uniqueness of mild solutions for these equations are established in a abstract phase space on some suitable hypotheses .Moreover ,also discuss the regularity of mild solution . |
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| Keywords: | C-semigroups the generator abstract functional differential equations infinitedelay mild solutions regularity |
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