APPLICATIONS OF INTEGRATED SEMIGROUPS TO HIGHER ORDER ABSTRACT CAUCHY PROBLEMS

作     者：ZHENG Quan (Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China) ZHENG Quan (Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China)

出 版 物：《Systems Science and Mathematical Sciences》 (系统科学与数学(英文版))

年 卷 期：1992年第5卷第4期

页      面：316-327页

核心收录：

学科分类：0711[理学-系统科学] 12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 08[工学] 0811[工学-控制科学与工程] 081103[工学-系统工程] 

基　　金：This project was supported by the National Science Foundation of China 

主　　题：Higher order abstract Cauchy problem uniqueness solvability exponential well-posedness integrated semigroup 

摘      要：This paper is concerned with applications of integrated semigroups tothe following Cauchy problem:（ACPn） xn（t）=sum from i=0 to n-1 Bixi（t）,xi（0）=xi,0（?）i（?）n-1where Bi （0（?）i（?）n-1） are closed linear operators on a Banach space *** theorem,a condition of the solvability,a condition of the exponentialwell-posedness,and some results for the special case that Bn-1 is bounded andD(Bn-2)（?）D（Bi）（0（?）i（?）n-3） are obtained.