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⁃th order⁃times integrated⁃groups with exponential boundedness

作　　者：贺凯丽 赵华新[1] 刘娟娟 HE Kai-li;ZHAO Hua-xin;LIU Juan-juan(School of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《西南民族大学学报（自然科学版）》2024年第2期199-205,共7页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(71961030);延安大学研究生教改项目(YGYJG2019033)。

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.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 

分 类 号：O152.7[理学—数学] O177[理学—基础数学]