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MULTIPLICATIVE PERTURBATIONS OF LOCAL α-TIMES INTEGRATED C-SEMIGROUPS被引量：1: 《Acta Mathematica Scientia》2017年第3期877-888,共12页Nai-Sher YEH Chung-Cheng KUO; 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...; 关键词：Integrated C-semigroup generator abstract Cauchy problem PERTURBATION

ADDITIVE PERTURBATIONS OF LOCAL C-SEMIGROUPS被引量：1: 《Acta Mathematica Scientia》2015年第6期1566-1576,共11页Chung-Cheng KUO; 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...; 关键词：local C-semigroup generator abstract Cauchy problem PERTURBATION

Approximation Theoretic Aspects of Probabilistic Representations for Bi-continuous C-semigroups: 《Communications in Mathematical Research》2014年第2期106-116,共11页Cang Ding-bang Chen Cang Song Xiao-qiu Ji You-qing; The NSF(10671205)of China;Fundamental Research Funds(3142012022,3142013039 and 3142014039)for the Central Universities;the Key Discipline Construction Project(HKXJZD201402)of NCIST; By means of Riemann-Stieltjes stochastic process, moment-generating functions and operator-valued mathematical expectation, the problem of probabilistic approximation for bi-continuous C-semigroups is studied and the ...; 关键词：bi-continuous C-semigroup probabilistic approximation generationtheorem

α-Times Integrated C-Semigroups被引量：2: 《Advances in Pure Mathematics》2012年第3期211-215,共5页Man Liu Da-Qing Liao Qian-Qian Zhu Fu-Hong Wang; The α-times integrated C semigroups, α > 0, are introduced and analyzed. The Laplace inverse transformation for α-times integrated C semigroups is obtained, some known results are generalized.; 关键词：α-Times INTEGRATED C SEMIGROUPS LAPLACE Inverse Transformation Pseudo-Resolvent IDENTITY

SUBGENERATORS OF C-SEMIGROUPS ON l^2: 《Analysis in Theory and Applications》2009年第3期297-300,共4页Jine Shi Sufen Cai; This paper gives some results about the subgenerators of special C-semigroups on l^2, partly answers the problem mentioned in [1].; 关键词：C-semigroup GENERATOR subgenerator the smallest subgenerator

LOCAL C-SEMIGROUPS AND LOCAL C-COSINE FUNCTIONS被引量：1: 《Acta Mathematica Scientia》1999年第2期201-213,共13页高明杵; 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...; 关键词：local C-semigroups local C-cosine functions asymptotic C-resolvent

THE ABSTRACT CAUCHY PROBLEM AND A GENERALIZATION OF THE LUMER-PHILLIPS THEOREM被引量：6: 《Chinese Annals of Mathematics,Series B》1998年第3期349-358,共10页LI YANGRONG; For injective, bounded operator C on a Banach space X , the author defines the C -dissipative operator, and then gives Lumer-Phillips characterizations of the generators of quasi-contractive C -semigro...; 关键词：Semigroups of operators C-SEMIGROUPS Dissipative operators Abstract Cauchy problems

HOLOMORPHIC INTERGATED MILD C-EXISTENCE FAMILIES: 《Acta Mathematica Scientia》1998年第1期63-73,共11页高明杵; 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...; 关键词：holomorphic integrated mild C-existence families C-SEMIGROUPS

Entire vectors for unbounded normal operators and abstract Cauchy problems: 《Chinese Science Bulletin》1997年第15期1253-1256,共4页LI YangrongDepartment of Mathematics, Southwest Normal University, Chongqing 630715, China; LET A be a closed operator on a Banach space X, and C~∞ (A)=∩_n~∞=1,D(A^n). The C~∞ vec-tor x is an entire vector for A if sum from n=0 to ∞ (t^n)/(n!)||A^n x||<∞ (1)for all t>0. We will write ε(A) for th...; 关键词：C-SEMIGROUPS ANALYTIC SEMIGROUPS normal OPERATORS entire vectors.

The generators of exponentially bounded C-semigroups and theHille-Yosida spaces: 《Chinese Science Bulletin》1996年第23期2021-2022,共2页姚景齐; supported by the National Natural Science Foundation of China.; Let（X,||·||）be a Banach space and let C be an injective bounded linear operator inX.A strongly continuous family of bounded linear operators{S（t）;t≥0}is called anexponentially bounded C-semigroup（hereinafter ab...; 关键词：The generators of exponentially bounded C-semigroups and theHille-Yosida spaces

C-SEMIGROUPS