| 具ω增长阶的α次积分余弦算子函数(英文) |
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| 引用本文： | 王梅英,许飞.具ω增长阶的α次积分余弦算子函数(英文)[J].数学季刊,2011(2). |
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| 作者姓名： | 王梅英 许飞 |
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| 作者单位： | Department of Applied Mathematics;Nanjing Audit University; |
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| 基金项目： | Supported by the Natural Science Foundation of Department of Education of Jiangsu Province(06KJD110087); Supported by the Youth Foundation of NanJing Audit University(NSK2009/C04) |
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| 摘 要： | For a continuous,increasing functionω:0,∞)→C of finite exponential type,we establish a Hille-Yosida type theorem for strongly continuous α-times(α>0)integrated cosine operator functions with O(ω).It includes the corresponding results for n-times integrated cosine operator functions that are polynomially bounded and exponentially bounded.
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| 关 键 词： | 积分余弦算子函数 增长阶 |
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