IJMNTA  Vol.2 No.3 , September 2013
α-Times Integrated C Semigroups and Strong Solution of Abstract Cauchy Problem

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.

Cite this paper: 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.

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