α-Times Integrated C-Semigroups

Man Liu, Da-Qing Liao, Qian-Qian Zhu, Fu-Hong Wang

Department of Basic Education, Xuzhou Air Force College, Xuzhou, China.

DOI: 10.4236/apm.2012.23030                

Abstract

The α-times integrated C semigroups, α > 0, are introduced and analyzed. The Laplace inverse transformation for α-times integrated C semigroups is obtained, some known results are generalized.

Keywords

α-Times Integrated C Semigroups; Laplace Inverse Transformation; Pseudo-Resolvent Identity

Conflicts of Interest

The authors declare no conflicts of interest.

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