n阶α次积分C半群  

n-th Order α-Times Integrated C-Semigroups

作　　者：张明翠[1] 宋晓秋[1] 黄翠[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221116

出　　处：《常熟理工学院学报》2014年第4期33-37,共5页Journal of Changshu Institute of Technology

基　　金：中国矿业大学理学院高水平论文专项基金(2012LWB53)

摘　　要：在Banach空间上将α次积分C半群与α次积分C余弦算子函数进行了推广,引入了n阶α次积分C半群及其次生成元的定义,得到它与次生成元的关系,研究了它的基本性质.讨论了n阶α次积分C半群与高阶抽象Cauchy问题解的关系.This paper extends α-times integrated C-semigroups and α-times integrated C-cosine operator func-tions in Banach space, and presents the notion of n-th order α-times integrated C-semi-groups and its sub-gen-erators, and then the authors of the paper get the connections with its sub-generator and study its basic proper-ties. At last, the paper investigates the connections between n-th order α-times integrated C-semigroups and the solution of high order abstract Cauchy problems.

关 键 词：n阶α次积分C半群 次生成元 抽象CAUCHY问题 

分 类 号：O177.2[理学—数学]