Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (S1): 33-38.

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α-Times Integrated Cosine Functions

Zhang Jizhou1,2   

  1. 1. Dept. of Math., Hubei University, Wuhan 430062;
    2. Dept. of Math.. Wuhan University, Wuhan 430072
  • Received:1995-05-10 Revised:1996-06-07 Online:1997-12-26 Published:1997-12-26

Abstract: In this paper, it is studied the some basic problems of α-times intgrated cosine functions. The purpose is to prove some basic properties, generation theorems and the relationships with α-times integrated semigroups. The results which we obtain improve and unify the the related results given by Arendt and Kellermann,Li and Shaw,Zheng.

Key words: Integrated cosine function, integrated semigroup, generator

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