| 带有非局部条件二阶微分包含的可控性 |
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| 引用本文： | 于金凤,陈安妮.带有非局部条件二阶微分包含的可控性[J].数学学报,2010,53(5):871-880. |
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| 作者姓名： | 于金凤 陈安妮 |
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| 作者单位： | 哈尔滨师范大学数学系 哈尔滨 150025 |
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| 基金项目： | 国家自然科学基金资助项目(10471032);黑龙江省教育厅项目(11551138) |
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| 摘 要： | 研究了一类带有非局部条件二阶微分包含的可控性,在多值函数F(t,x)取凸情形下讨论了上述问题,建立了可控性的充分条件.本文将所讨论的问题转化为集值积分算子的不动点问题,利用Kakutani不动点定理得到可控性.
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| 关 键 词： | Mlid解 可控性 Kakutani不动点 |
| 收稿时间： | 2009-01-19 |
| 修稿时间： | 2010-03-16 |
Controllability of Second-Order Differential Inclusions with Nonlocal Conditions |
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| Institution: | Harbin Normal University, Harbin 150025, P. R. China |
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| Abstract: | In this paper, controllability problems of second-order differential inclusion with nonlocal conditions have been researched. We consider this problem and establish sufficient conditions for convex field. The problem is converted into fixed pointed problem of set-valued integral operators, then the controllability theorem is obtained by using Kakutani fixed point theorem.
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| Keywords: | mild solusions controllability Kakutani&rsquo s fixed point |
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