一类多元二阶抽象微分方程的Cauchy问题  

On the Cauchy's Problem for one Class of Multivariate Second 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：《武汉城市建设学院学报》1991年第2期47-52,共6页Journal of Wuhan Urban Construction Institute

摘　　要：本文运用多元半群理论证明了一类多元二阶抽象微分方程的 Cauchy 问题解的存在唯一性,并且给出解的积分表达式。In this paper the multivariate semigroups theory is used to prove the existness and uniqueness of solutions of Cauchy's problem for a class of second order abstract differenial equations and the integral expressions for their solutions are presented

关 键 词：抽象微分方程 多元半群 

分 类 号：O175.15[理学—数学]