ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS

ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS

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摘要 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. 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.

作者李国成薛小平宋士吉

机构地区 Department of Mathematics Department of Automation

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第2期168-177,共10页 应用数学和力学（英文版）

基金 theNationalNaturalScienceFoundationofChina ( 1 0 2 71 0 3 5) National973Program ( 2 0 0 2CB3 1 2 2 0 5)

关键词 evolution inclusion semi-linear differential inclusion periodic solution continuous selector compact operator fixed point evolution inclusion semi-linear differential inclusion periodic solution continuous selector compact operator fixed point

分类号 O175 [理学—基础数学]

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Applied Mathematics and Mechanics(English Edition)

2004年第2期

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ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS

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