α-Times Integrated C Semigroups and Strong Solution of Abstract Cauchy Problem ()
Man Liu,
Shuling Wang,
Qingzhi Yu,
Zhengming Wang
Basic Department, Air Force Logistics College, Xuzhou, China.
Department of Aviation Ammunition, Air Force Logistics College, Xuzhou, China.
Department of Training, Air Force Logistics College, Xuzhou, China.
DOI: 10.4236/ijmnta.2013.23022
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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.
Share and Cite:
M. Liu, S. Wang, Q. Yu and Z. Wang, "
α-Times Integrated C Semigroups and Strong Solution of Abstract Cauchy Problem,"
International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 3, 2013, pp. 164-166. doi:
10.4236/ijmnta.2013.23022.
Conflicts of Interest
The authors declare no conflicts of interest.
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