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ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS
作者姓名:李国成  薛小平  宋士吉
作者单位:[1]DepartmentofMathematics,HarbinInstituteofTechnology,Harbin150001,P.R.China [2]DepartmentofAutomation,TsinghuaUniversity,Beijing100084,P.R.China
基金项目: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 toestablish 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 forthis class of semi-linear differential inclusion. An application to some feedback control systems isdiscussed.

关 键 词:周期解  非线性微分方程  连续选择器  安装点  反馈控制系统
收稿时间:3 July 2001

On the periodic solutions of differential inclusions and applications
Li Guo-cheng,Xue Xiao-ping,Song Shi-ji.ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS[J].Applied Mathematics and Mechanics(English Edition),2004,25(2):168-177.
Authors:Li Guo-cheng  Xue Xiao-ping  Song Shi-ji
Institution:1. Department of Mathematics, Harbin Institute of Technology,Harbin 150001, P.R.China
2. Department of Automation, Tsinghua University,Beijing 100084, P.R. China
Abstract: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.
Keywords:evolution inclusion  semi-linear differential inclusion  periodic solution  continuous selector  compact operator  fixed point
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