ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS  

作　　者：李国成 薛小平 宋士吉 

机构地区：[1]Department of Mathematics, Harbin Institute of Technology [2]Department of Automation, Tsinghua University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2004年第2期168-177,共10页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 1 0 2 71 0 3 5) ;National973Program ( 2 0 0 2CB3 1 2 2 0 5)

摘　　要：The periodic problem of evolution inclusion is studied and its results are used to establish existence theorems of periodic solutions of a class of semi_linear differential inclusion.Also existence theorem of the extreme solutions and the strong relaxation theorem are given for this class of semi_linear differential inclusion. An application to some feedback control systems is discussed.The periodic problem of evolution inclusion is studied and its results are used to establish existence theorems of periodic solutions of a class of semi_linear differential inclusion.Also existence theorem of the extreme solutions and the strong relaxation theorem are given for this class of semi_linear differential inclusion. An application to some feedback control systems is discussed.

关 键 词：evolution inclusion semi-linear differential inclusion periodic solution continuous selector compact operator fixed point 

分 类 号：O175[理学—数学]