| m次积分半群和相应柯西问题的强解 |
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| 引用本文： | 龙飞.m次积分半群和相应柯西问题的强解[J].贵州教育学院学报,2001,12(4):1-4. |
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| 作者姓名： | 龙飞 |
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| 作者单位： | 贵州教育学院数学系!贵州贵阳550003 |
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| 摘 要： | 研究主算子为m次积分半群的无穷小生成元的一类线性非齐次发展方程强解存在的两个充要条件及判定强解存在的充分条件。最后 ,给出一个实例来验证本文的抽象结果。
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| 关 键 词： | m次积分半群 无穷小生成元 强解 存在性 |
| 文章编号： | 1002-6983(2001)04-0001-04 |
| 修稿时间： | 2001年3月26日 |
m-times integrated semigroups and the strong solution of abstract cauchy problem |
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| LONG Fei.m-times integrated semigroups and the strong solution of abstract cauchy problem[J].Journal of Guizhou Educational College(Social Science Edition),2001,12(4):1-4. |
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| Authors: | LONG Fei |
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| Abstract: | In this paper, we introduce the strong solution of lnear differential equation whose principal operator is the infinitesimal generator of an m-times integrated semigroup and give two sufficient necessary conditions and a judgeing theorem. Then, we give an example to illustrate ourresults. |
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| Keywords: | m-times integrated semigroup infinitesimal generator strong solution existence |
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