摘要
基于单参数n阶α次积分C半群的概念,引入双参数n阶α次积分C半群的概念及无穷小生成元,给出双参数n阶α次积分C半群无穷小生成元的Yosida逼近定理.
Based on the concept of one-parameter n- th order α- times integral C- semigroups,the concept of two-parameter n- th Order α- times integral C- semigroups and infinitesimal generators are introduced.The Yosida approximation theorem of infinitesimal generators of two-parameter n- th order α- times integral C- semigroups is given.
作者
赵丹丹
赵华新
ZHAO Dan-dan;ZHAO Hua-xin(School of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China)
出处
《云南师范大学学报（自然科学版）》
2019年第4期29-32,共4页
Journal of Yunnan Normal University:Natural Sciences Edition
基金
国家自然科学基金资助项目(61763045)
陕西省教育厅基金资助项目(18JK0862)
关键词
双参数n阶α次积分C半群
YOSIDA逼近
无穷小生成元
Two-parameter n- th order α- times integral C- semigroups
Yosida approximation
Infinitesimal generator
