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On the periodic solutions of differential inclusions and applications

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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 inclution. An application to some feedback control systems is discussed.

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Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, P. R. China

    Li Guo-cheng Associate Professor, Doctor & Xue Xiao-ping

  2. Department of Automation, Tsinghua University, 100084, Beijing, P. R. China

    Song Shi-ji

Authors
  1. Li Guo-cheng Associate Professor, Doctor
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  2. Xue Xiao-ping
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  3. Song Shi-ji
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Additional information

Communicated by Zhang Shi-sheng

Foundation items: the National Natural Science Foundation of China (10271035); National 973 Program (2002CB312205)

Biographies: Li Guo-cheng (1964≈)

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Guo-cheng, L., Xiao-ping, X. & Shi-ji, S. On the periodic solutions of differential inclusions and applications. Appl Math Mech 25, 168–177 (2004). https://doi.org/10.1007/BF02437318

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  • DOI: https://doi.org/10.1007/BF02437318

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Chinese Library Classification

2000 Mathematics Subject Classification

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