Hille–Yosida type theorems for O

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• 作者：Zhanrong Hu ; Zhen Jin
• 关键词： ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4TW11PG-8&_mathId=mml6&_user=10&_cdi=5659&_pii=S0362546X08006500&_rdoc=55&_issn=0362546X&_acct=C000029478&_version=1&_userid=578664&md5=
• 刊名：Nonlinear Analysis
• 出版年：2009
• 出版时间：1 July 2009-15 July 2009
• 年：2009
• 卷：71
• 期：1-2
• 页码：521-530
• 全文大小：566 K

文摘

For an arbitrary continuous increasing function , we introduce the concept and characterize the properties of n-times integrated Laplace transforms of O(ω(t)) vector-valued functions. Based on these properties, we have established Hille–Yosida type theorems for O(ω(t))n-times integrated semigroups. An explanation example is given.