On the Periodic Solutions of Differential Inclusions and Applications

LI Guo-cheng; XUE Xiao-ping; SONG Shi-ji

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LI Guo-cheng, XUE Xiao-ping, SONG Shi-ji. On the Periodic Solutions of Differential Inclusions and Applications[J]. Applied Mathematics and Mechanics, 2004, 25(2): 150-158.

Citation:

LI Guo-cheng, XUE Xiao-ping, SONG Shi-ji. On the Periodic Solutions of Differential Inclusions and Applications[J]. Applied Mathematics and Mechanics, 2004, 25(2): 150-158.

Citation:

LI Guo-cheng, XUE Xiao-ping, SONG Shi-ji. On the Periodic Solutions of Differential Inclusions and Applications[J]. Applied Mathematics and Mechanics, 2004, 25(2): 150-158.

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On the Periodic Solutions of Differential Inclusions and Applications

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

Received Date: 2001-07-03
Rev Recd Date: 2003-10-08
Publish Date: 2004-02-15

Abstract

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.
- evolution inclusion,
- semi-linear differential inclusion,
- periodic solution,
- continuous selector,
- compact operator,
- fixed point

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References(18)

References

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