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H. R. Thieme, “‘Integrated Semigroup’ and Integrated Solution to Abstract Cauchy Problem,” Journal of Mathematical Analysis and Applications, Vol. 152, No. 2, 1990, pp. 416-447. doi:10.1016/0022-247X(90)90074-P

has been cited by the following article:

• TITLE: α-Times Integrated C Semigroups and Strong Solution of Abstract Cauchy Problem

  AUTHORS: Man Liu, Shuling Wang, Qingzhi Yu, Zhengming Wang

  KEYWORDS: α-Times Integrated C Semigroups; Abstract Cauchy Problem; Strong Solution

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.2 No.3, August 30, 2013

  ABSTRACT: The infinite generator of α-times Integrated C semigroups and the properties of resolvent are given. At the same time, we discuss the relationship between the existence of strong solution of a class of nonhomogeneous abstract Cauchy problem and α-times integrated C semigroups, and a sufficient and necessary condition is obtained.