[1] Arendt W, Batty C J K, Hieber H, Neubrander F. Vecctor-Valued Laplace Transforms and Cauchy Problems 96. Basel, Boston, Berlin: Birkhauser Verlag, 2001
[2] Davies E S, Pang M M. The cauchy problem and a generalization of the Hille-Yosida theorem. Proc London Math Soc, 1987, 55: 181-208
[3] DeLaubenfuls R. C-Semigroups and the abstract cauchy problem. J Funct Anal, 1993, 111: 44-61
[4] Gao M. Local C-semigroups and local C-cosine functions. Acta Math Sci, 1999, 19: 201-213
[5] Goldstein J A. Semigroups of Linear Operators and Applications. Oxford, 1985
[6] Liang J, Xiao T J, Li F. Multiplicative perturbations of local C-regularized semigroups. Semigroup Forum, 2006, 72(3): 375-386
[7] Kuo C C. On perturbation of α-times integrated C-semigroups. Taiwanese J Math, 2010, 14(5): 1979-1992
[8] Kuo C C. Multiplicative perturbations of local C-semigroups. Proc Math Sci, 2015, 125(1): 45-55
[9] Kuo C C. On existence and approximation of solutions of abstract cauchy problem. Taiwanese J Math, 2009, 13: 137-155
[10] Li Y C, Shaw S Y. On characterization and perturbation of local C-semigroups. Proc Amer Math Soc, 2007, 135: 1097-1106
[11] Shaw S Y, Kuo C C. Generation of local C-semigroups and solvability of the abstract cauchy problems. Taiwanese J Math, 2005, 9: 291-311
[12] Shaw S Y, Kuo C C, Li Y C. Perturbation of local C-semigroups. Nonlinear Analysis, 2005, 63: 2569-2574
[13] Tanaka N, Miyadera I. C-semigroups and the abstract cauchy problem. J Math Anal Appl, 1992, 170: 196-206
[14] Tanaka N, Okazawa N. Local C-semigroups and local integrated semigroups. Proc London Math Soc, 1990, 61: 63-90
[15] Xiao T J, Liang J. Laplace transforms and integrated, regularized semigroups in locally convex spaces. J Funct Anal, 1997, 148(2): 448-479
[16] Xiao T J, Liang J. Multiplicative perturbations of C-regularized semigroups. Comput Math Appl, 2001, 41: 1215-1221
[17] Xiao T J, Liang J, Li F. A perturbation theorem of miyadera type for local C-regularized semigroups. Taiwanese J Math, 2006, 10: 153-162
[18] Xiao T J, Liang J. The cauchy problem for higher-order abstract differential equations//Lectures Notes in Math, 1701. Springer, 1998 |