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STRONGLY CONTINUOUS INTEGRATED COSINE OPERATOR FUNCTIONS WITH GROWTH ω
作者姓名:Meiying  Wang  Guoxiang  Chen
作者单位:Department of Mathematics Nanjing Audit University Nanjing, 210029 P. R. China
摘    要:For a continuous increasing function ω : 0, ∞) → (0, ∞) of finite exponetial type, we establish a Hille-Yosida type theorem for strongly continuous integrated cosine operator functions with O(ω). It includes the well-known polynomially bounded and exponentially bounded cases.

关 键 词:强连续性  连续递增函数  积分余弦算子  生成元  生成定理
收稿时间:2006-01-20

Strongly continuous integrated cosine operator functions with growth ω
Meiying Wang Guoxiang Chen.Strongly continuous integrated cosine operator functions with growth ω[J].Analysis in Theory and Applications,2007,23(1):1-8.
Authors:Meiying Wang  Guoxiang Chen
Institution:(1) Department of Mathematics, Nanjing Audit University, Nanjing, 210029, P. R. China
Abstract:For a continuous increasing function ω: 0, ∞) → (0, ∞) of finite exponetial type, we establish a Hille-Yosida type theorem for strongly continuous integrated cosine operator functions with O(ω). It includes the well-known polynomially bounded and exponentially bounded cases.
Keywords:cosine operator functions with growth ω    generator  generation theorem
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