双参数n阶α次积分C半群的预解集  

The Resolvent set of Two Parameters n-th Order α-times Integral C-semigroups

作　　者：赵丹丹 赵华新[1] ZHAO Dandan;ZHAO Huaxin(School of Mathematics and Computer Science,Yan’an University,Yan’an 716000,Shaanxi China)

机构地区：[1]延安大学数学与计算机科学学院

出　　处：《河南科学》2019年第5期689-692,共4页Henan Science

基　　金：国家自然科学基金项目(61763045);陕西省教育厅项目(18JK0862)

摘　　要：在单参数n阶α次积分C半群概念的基础上,利用经典算子半群理论中的方法和单参数n阶α次积分C半群预解方程的研究方法,将单参数n阶α次积分C半群的概念推广到双参数n阶α次积分C半群,得到双参数n阶α次积分C半群概念、预解集及预解方程的性质。We take the basis of a one-parameter n-th order α-times integral C-semigroups’s concep and use the method of classical operator and the study ways of one-parameter n-th order α-times integral C-semigroups resolvent equation,the concept of one-parameter n-th order α-times integral C-semigroups are extended to twoparameter n-th order α-times integral C-semigroups. The concept of two parameters n-th order α-times integral C-semigroups,the presolution set and the properties of the resolvent equation are obtained.

关 键 词：双参数n阶α次积分C半群 次生成元 双参数n阶α次积分C半群的预解集 预解方程 

分 类 号：O177.2[理学—数学]