Banach空间中发展包含的反周期问题

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Anti-periodic Problems for Evolution Inclusions in Banach Space

CHENG Yi^1,2, HUA Hongtu^2,3, CONG Fuzhong³

1. Department of Mathematics, Bohai University, Jinzhou 121003, Liaoning Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China;3. Department of Foundation, Aviation University of Air Force, Changchun 130022, China

Received:2012-08-14 Online:2013-07-26 Published:2013-08-06
Contact: CHENG Yi E-mail:chengyi407@126.com

Abstract

Abstract:

The authors discussed the antiperiodic problems for a class of evolution inclusions in Banach space. When the mutilfuction G(t,x)
takes a bounded, weakly compact, convex value, and is measurable about variable t, is a closed graph about variable x, using techniques from the Kakutani-Fan fixed point theory, we have got a priori estimate to this equation and a sufficient condition of the existence of solutions, and proved the solution set is weakly compact.

Key words: evolution inclusion, antiperiodic, fixed point

CLC Number:

O175.14

CHENG Yi, HUA Hongtu, CONG Fuzhong. Anti-periodic Problems for Evolution Inclusions in Banach Space[J].Journal of Jilin University Science Edition, 2013, 51(04): 626-628.

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Anti-periodic Problems for Evolution Inclusions in Banach Space

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