| (Z)条件下Cosine算子函数的乘积扰动下的不变性质 |
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| 引用本文： | 孙士国. (Z)条件下Cosine算子函数的乘积扰动下的不变性质[J]. 潍坊学院学报, 2004, 4(2): 3-5 |
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| 作者姓名： | 孙士国 |
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| 作者单位： | 山东科技大学,信息与工程学院,山东,泰安,2671019 |
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| 摘 要： | A生成Banach空间X上的指数有界cosine函数C(t)，本文讨论了在满足(Z)条件的乘积扰动下C(t)的范数连续性，局部LipschiZ连续性仍保持不变，得到了一个逼近结果．
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| 关 键 词： | Cosine算子函数 乘积扰动 范数连续性 （Z）条件 |
| 文章编号： | 1671-4288(2004)02-0003-03 |
| 修稿时间： | 2004-01-20 |
Stable properties of Cosine Function under Multiplicative Perturbations with the (Z)-condtion |
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| SUN Shi-guo. Stable properties of Cosine Function under Multiplicative Perturbations with the (Z)-condtion[J]. Journal of Weifang University, 2004, 4(2): 3-5 |
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| Authors: | SUN Shi-guo |
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| Abstract: | Let A be the infinitesimal gencerator of an exponentially bounded cosine function C (t) in a Banach space X,the paper mainly discusses the properties of C (t),such as the norm continuity,local Lipscchitz continuity,which are preserved Under the multiplicative perturbation with the (Z)-condition |
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| Keywords: | cosine operator functions muitiplicative perturbation (Z)-codition |
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