Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (2): 168-177.

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ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS

LI Guo-cheng1, XUE Xiao-ping1, SONG Shi-ji 2   

  1. 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China;
    2. Department of Automation, Tsinghua University, Beijing 100084, P. R. China
  • Received:2001-07-03 Revised:2003-10-08 Online:2004-02-18 Published:2004-02-18

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.

2010 MSC Number: 

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