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On the periodic solutions of differential inclusions and applications |
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| Authors: | Li Guo-cheng Xue Xiao-ping Song Shi-ji |
| Affiliation: | 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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