Journal of Jilin University Science Edition

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Extremal Problems of a Class of Evolution Inclusions

WANG Junyan1, CHENG Yi2, SUN Jiahui3   

  1. 1. Department of Mathematics, Humanity and Information College ofChangchun University of Technology, Changchun 130122, China;2. Department of Mathematics, Bohai University, Jinzhou 121013, Liaoning Province, China;3. Department of Foundation, Aviation University of Air Force, Changchun 130022, China
  • Received:2013-02-27 Online:2013-11-26 Published:2013-11-21
  • Contact: CHENG Yi E-mail:chengyi407@126.com

Abstract:

We proved that the existence of antiperiodic extremal solutions when the mutilfuction G(t,x) takes a bounded, weakly compact, convex value, and is measurable about variable t, and continuous about variable x, using the Tolstonogov extremal continuous selection theorem and the Schauder fixed point theory.

Key words: evolution inclusion, extremal solution, fixed point

CLC Number: 

  • O175.14