积分C半群与抽象积微分方程(英文)  

INTEGRATED C-SEMIGROUPS AND ABSTRACT INTEGRO-DIFFERENTIAL EQUATIONS

作　　者：王彩侠[1] 宋晓秋[1] 

机构地区：[1]中国矿业大学理学院,徐州221008

出　　处：《南京大学学报（数学半年刊）》2006年第2期217-224,共8页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Foundation item: Science and Technology Foundation of China Univ of Mining & Tech (No.A200402).

摘　　要：引入了积分C半群局部Lipschitz连续的概念．利用逼近的思想给出了一类积微分方程求解的新方法．给出了一类抽象柯西问题存在mild解的充分条件．In this paper, we give the definition of locally Lipschitz continuous integrated C-semigroups and present a new method to solve an abstract integro-differential equation by approximation of the convergence of integral of a sequence of C-semigroups. We also give a sufficient condition that there exists a mild solution to an abstract Cauchy problem.

关 键 词：积分C半群 积微分方程 抽象柯西问题 MILD解 

分 类 号：O177[理学—数学]