指数有界双连续n阶m次积分C群的指数公式
Exponential formula of bi-continuous n-th order m-times integrated C-groups with exponential boundedness
贺凯丽 1赵华新 1刘娟娟1
作者信息
- 1. 延安大学数学与计算机科学学院,陕西 延安 716000
- 折叠
摘要
利用经典算子半群理论中的研究方法,基于指数有界双连续n阶m次积分C群和预解式的定义,给出指数有界双连续n阶m次积分C群与其预解式间积分的表示关系,得到指数有界双连续n阶m次积分C群的指数公式,从而推广了n阶m次积分C半群的相关结果,丰富了算子半群理论的研究内容.
Abstract
Using the research method of classical operator semigroup theory,based on the definition of bi-continuous n-th order m-times integrated C-groups with exponential boundedness and resolvent,this paper gave the representation relation of the bi-continuous n-th order m-times integrated C-groups with exponentially boundedness and its resolvent.Then the exponential for-mula of bi-continuous n-th order m-times integrated C-groups with exponentially boundedness was obtained.Thus the correlation results of n-th order m-times integrated C-semigroups were generalized and the research content of the operator semigroup theory was enriched.
关键词
双连续n阶m次积分C群/指数公式/指数有界/预解式Key words
bi-continuous n-th order m-times integrated C-group/exponential formula/exponential boundedness/resolvent引用本文复制引用
基金项目
国家自然科学基金(71961030)
延安大学研究生教学改革项目(YGYJG2019033)
出版年
2024
NETL
NSTL
万方数据