We establish some left and right multiplicative perturbations of a local α-timesintegrated C-semigroup S(·) on a complex Banach space X with non-densely defined genera- tor, which can be applied to obtain some add...
supported by the National Science Council of Taiwan
In this paper, we apply the contraction mapping theorem to establish some bounded and unbounded additive perturbation theorems concerning local C-semigroups. Some growth conditions of perturbations of local C-semigrou...
the National Natural Science Foundation of China,and the Natural Science Foundation of Shanxi Province and the Youth Scientific
This paper is concerned with the local C-semigroups and local C-cosine functions without the assumption that the image of C is dense in a Banach space X, First, the sufficient and necessary conditions for a local C-se...
By defined holomorphic n-times integrated mild C-existence families and Csemigroups, their relationship with holomorphic mild C1-exustence families and holomorphic C1 -semigroups is discussed, respectively. For expone...
This paper concerns analytic integrated C-semigroups , analytic C-semigroups and analytic integrated semigroups with nondensely defined generators. The main purpose of this paper is to establish some generation theore...