α次积分半群的Laplace逆变换  

Laplace Inverse Transformation for α Times Integrated Semigroups

作　　者：刘春景[1] 宋晓秋[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《云南民族大学学报（自然科学版）》2011年第3期190-194,共5页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(10671205);中央高校基本科研业务费专项资金项目(2010Lksx08)

摘　　要：以积分C半群生成定理的Laplace刻画为基础,结合α次积分半群及Gamma函数的性质,推导出指数有界α次积分半群的2种Laplace逆变换形式及相应的2个推论.Based on the generation theorem in terms of the Laplace transformation and the properties of times integrated semigroups and Gamma function, two kinds of the Laplace inverse transformation as well as two deductions of exponentially bounded times integrated semigroups are deduced.

关 键 词：α次积分半群 GAMMA函数 LAPLACE逆变换 

分 类 号：O177.2[理学—数学]