Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (1): 126-136.

• Articles • Previous Articles     Next Articles

Existence of Periodic Solution for Evolution Inclusion in Banach Space

 YU Jin-Feng1, XUE Xiao-Ping2   

  1. 1. Department of Mathematics, Harbin Normal University, Harbin 150080;
    2.Department of Mathematics, Harbin Institute of Technology, Harbin 150001
  • Received:2010-07-06 Revised:2011-09-19 Online:2012-02-25 Published:2012-02-25
  • Supported by:

    国家自然科学基金(10571035)和黑龙江省教育厅项目(11551138)资助规划常规性课题(06CGYJ21YBQ)

Abstract:

In this paper, using the Galerkin approximation method, the authors establish a theorem about the existence of periodic solution for a class of evolution inclusion. As an application of the results, a suffcient conditions for the existence of periodic solution to the parabolic differential equation with multivalued items is obtained.

Key words: Evolution triple, Evolution inclusions, Periodic solutions, Galerkin approxima-tion

CLC Number: 

  • 34A60
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