多元半群与一阶抽象微分方程  

Multivariate Semi-groups and First—order Abstract Differential Equations

作　　者：罗德斌[1] 

机构地区：[1]武汉城市建设学院基础科学系

出　　处：《土木工程与管理学报》1989年第4期47-54,共8页Journal of Civil Engineering and Management

摘　　要：本文将一元半群推广到多元半群,讨论了多元半群的性质,并利用多元半群理论证明了n元一阶抽象微分方程的Cauchy问题解的存在唯一性,且给出解的积分表达式.In this paper one-parameter semi-groups is introduced to multivariate semi-groups and the properties of multivariate semi-groups has been discussed. The existness and uniqueness of solutions Cauchy problems for n-ary first-order abstract differential equations are proved by semi-groups theory and the integral expressions for their solutions are given

关 键 词：C_(0)类多元半群 n元无究小生成元 n元一阶抽象微分方程 

分 类 号：TU984-55[建筑科学—城市规划与设计]