关于次积分C半群的一些结论

Chunjing Liu, Xiaoqiu Song, Tao Wang
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引用次数: 1

摘要

本文在其他半群的Hille指数公式、拉普拉斯变换的生成定理和指数有界的半群的性质的基础上,得到了关于®-次积分C半群的两个主要结论。一个是表示定理,另一个是拉普拉斯逆变换还有两个演绎。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Some Conclusions about alpha-times Integrated C Semigroups
This paper gets two main conclusions about ®-times integrated C semi groups based on the Hille exponential formulas of the other kinds of semi groups, the generation theorem in terms of the Laplace transform and the properties of exponential bounded ®-times integrated C semi groups. One is the representation theorem, the other is the Laplace inverse transform as well as two deductions.
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