| Banach空间中发展包含的反周期问题 |
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| 引用本文： | 程毅,华宏图,从福仲.Banach空间中发展包含的反周期问题[J].吉林大学学报(理学版),2013,51(4):626-628. |
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| 作者姓名： | 程毅 华宏图 从福仲 |
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| 作者单位： | 1. 渤海大学 数学系, 辽宁 锦州 121003; 2. 吉林大学 数学研究所, 长春 130012;3. 空军航空大学 基础部, 长春 130022 |
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| 基金项目： | 国家自然科学基金(批准号:11171350) |
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| 摘 要： | 考虑一类发展包含在Banach空间中的反周期问题, 集值函数G(t,x)取有界紧凸值的, 关于变量t是可测的, 关于变量x是闭图像, 运用Kakutani-Fan不动点定理, 对方程做了先验估计, 给出了解存在的充分条件, 并证明了解集是弱紧的.
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| 关 键 词： | 发展包含 反周期 不动点 |
| 收稿时间： | 2012-08-14 |
Anti-periodic Problems for Evolution Inclusions in Banach Space |
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| CHENG Yi,HUA Hong-tu,CONG Fu-zhong.Anti-periodic Problems for Evolution Inclusions in Banach Space[J].Journal of Jilin University: Sci Ed,2013,51(4):626-628. |
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| Authors: | CHENG Yi HUA Hong-tu CONG Fu-zhong |
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| Institution: | 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 |
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| 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. |
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| Keywords: | evolution inclusion anti periodic fixed point |
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