... SpacesJian-Hua Chen1 and Ti-Jun Xiao21School of Mathematical and Computational Science, Hunan University of Science and Technology,Xiangtan, Hunan 411201, China2School of Mathematical ... R¨abiger, “Tauberian theorems and stability of solutions of the Cauchy problem,” Transactions of the American Mathematical Society, vol. 350, no. 5, pp. 2087–2103,1998.8 K J. Engel and R. Nagel, ... Xiao and J. Liang, “Approximations of Laplace transforms and integrated semigroups,” Journal of Functional Analysis, vol. 172, no. 1, pp. 202–220, 2000.7 C. J. K. Batty, J. van Neerven, and...