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STRONGLY CONTINUOUS INTEGRATED COSINE OPERATOR FUNCTIONS WITH GROWTHω

STRONGLY CONTINUOUS INTEGRATED COSINE OPERATOR FUNCTIONS WITH GROWTHω

作     者:Meiying Wang Guoxiang Chen 

作者机构:Department of Mathematics Nanjing Audit University Nanjing 210029 P. R. China 

出 版 物:《Analysis in Theory and Applications》 (分析理论与应用(英文刊))

年 卷 期:2007年第23卷第1期

页      面:1-8页

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主  题:cosine operator functions with growth ω generator generation theorem 

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.

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