| 一类发展包含的端点问题 |
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| 引用本文： | 王俊彦,程毅,孙佳慧. 一类发展包含的端点问题[J]. 吉林大学学报(理学版), 2013, 51(6): 1095-1097 |
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| 作者姓名： | 王俊彦 程毅 孙佳慧 |
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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. 渤海大学 数学系, 辽宁 锦州 121013;3. 空军航空大学 基础部, 长春 130022 |
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| 摘 要： | 考虑一类反周期发展包含端点解的存在性. 当集值函数G(t,x)取有界紧凸值, 且为关于变量t可测的、 关于变量x连续时, 利用Tolstonogov端点连续选择定理和Schauder不动点定理, 证明了端点反周期解的存在性.
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| 关 键 词： | 发展包含 端点解 不动点 |
| 收稿时间： | 2013-02-27 |
Extremal Problems of a Class of Evolution Inclusions |
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| WANG Jun yan,CHENG Yi,SUN Jia hui. Extremal Problems of a Class of Evolution Inclusions[J]. Journal of Jilin University: Sci Ed, 2013, 51(6): 1095-1097 |
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| Authors: | WANG Jun yan CHENG Yi SUN Jia hui |
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| Affiliation: | 1. Department of Mathematics, Humanity and Information College ofChangchun 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 |
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| 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. |
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| Keywords: | evolution inclusion extremal solution fixed point |
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