非凸情况下发展包含的反周期问题

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Anti-periodic Problems of Evolution Inclusions in Nonconvex Case

WANG Jun yan¹, GAO Shun chuan^2,3, WANG Chun hong²

1. Department of Mathematics, Humanities and Information College of Changchun University of Technology,Changchun 130122, China; 2. Department of Foundation, Aviation University of Air Force, Changchun 130022, China;3. Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2012-10-29 Online:2013-07-26 Published:2013-08-06
Contact: GAO Shun chuan E-mail:gaoshunchuan123@126.com

Abstract

Abstract:

The authors discussed the anti\|periodic problems of evolution inclusions in nonconvex case. When the mutilfuction G(t,x) takes bounded, weakly compact, nonconvex value, is measurable about variable t, and is a semi\|continuous about variable x, using techniques from the continuous selection theorem and the Schauder fixed point theory, we got a priori estimate to this equation and established the existence theorem of anti\|periodic solutions.

Key words: evolution inclusion, anti-periodic, fixed point

CLC Number:

O175.14

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Anti-periodic Problems of Evolution Inclusions in Nonconvex Case

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