指数有界双参数n阶α次积分C半群的逼近  

Approximation of exponentially bounded two-parameter n-th order α-times integrated C-semigroups

作　　者：白洋 赵华新[1] BAI Yang;ZHAO Hua-xin(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）》2023年第3期334-340,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(YDYJG2019033)。

摘　　要：逼近是算子半群理论中重要的组成部分之一.利用经典算子半群理论中的方法,并结合指数有界双参数n阶α次积分C半群的概念和Laplace型逆变换的表达式得到了指数有界双参数n阶α次积分C半群的逼近:在一定条件下,当T_(n)(t,s)x逼近于T(t,s)x,则有■逼近于■,反之也成立.Approximation is one of the important components of operator semigroup theory.In this paper,the method in the clas-sical operator semigroup theory,combined with the concept of exponential bounded two-parametern-th orderα-times integrat-edC-semigroup and the expression of Laplace-type inverse transformation,obtains the approximation of exponential bounded two-parametern-th orderα-times integratedC-semigroup:under certain conditions,whenT_n(t,s)xapproximatesT(t,s)x,then■approximates■,which is true vice versa.

关 键 词：指数有界双参数n阶α次积分C半群 次生成元 LAPLACE变换 逼近 

分 类 号：O152.7[理学—数学]