| 非凸情况下发展包含的反周期问题 |
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| 引用本文： | 王俊彦,高顺川,王春红.非凸情况下发展包含的反周期问题[J].吉林大学学报(理学版),2013,51(4):629-631. |
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| 作者姓名： | 王俊彦 高顺川 王春红 |
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| 作者单位： | 1. 长春工业大学人文信息学院 数学教研部, 长春 130122; 2. 空军航空大学 基础部, 长春 130022;3. 吉林大学 数学研究所, 长春 130012 |
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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： | 讨论一类非凸情况下发展包含的反周期问题. 当集值函数G(t,x)取紧非凸值的, 关于变量t是可测的, 关于变量x是下半连续时, 运用连续选
择定理和Schauder不动点定理, 对方程作了先验估计, 并给出了反周期解的存在性定理.
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| 关 键 词： | 发展包含 反周期 不动点 |
| 收稿时间： | 2012-10-29 |
Anti-periodic Problems of Evolution Inclusions in Nonconvex Case |
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| WANG Jun-yan,GAO Shun-chuan,WANG Chun-hong.Anti-periodic Problems of Evolution Inclusions in Nonconvex Case[J].Journal of Jilin University: Sci Ed,2013,51(4):629-631. |
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| Authors: | WANG Jun-yan GAO Shun-chuan WANG Chun-hong |
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| Institution: | 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 |
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| 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 isa 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. |
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| Keywords: | evolution inclusion anti-periodic fixed point |
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