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.