| 一个脉冲泛函边值问题的比较定理 |
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| 引用本文： | 孙肖丽.一个脉冲泛函边值问题的比较定理[J].洛阳工业高等专科学校学报,2010,20(1). |
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| 作者姓名： | 孙肖丽 |
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| 作者单位： | 枣庄学院数学系,山东枣庄,277160 |
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| 基金项目： | 山东省教育厅科技计划基金资助项目(J07WZ20) |
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| 摘 要： | 单调迭代技巧是解决周期边值问题和泛函边值问题的一类重要方法,其解决的关键在于建立相应的比较定理。建立了右端项为f(t,u(t),ut)的一类非共振脉冲泛函微分方程边值问题相应的比较定理,从而为解决相应边值问题解的存在性奠定基础。
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| 关 键 词： | 脉冲 泛函边值问题 比较定理 |
A Comparison Theorem of Impulsive Functional Boundary Value Problems |
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| SUN Xiao-li.A Comparison Theorem of Impulsive Functional Boundary Value Problems[J].Journal of Luoyang Technology College,2010,20(1). |
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| Authors: | SUN Xiao-li |
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| Institution: | The Institute of Sciences of Mathematics/a>;Zaozhuang University/a>;Zaozhuang 277160/a>;China |
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| Abstract: | Monotone iterative technique is a kind of important approach to periodic boundary value problem and functional value problem,whose key solution lies in the establishment of corresponding comparison theorem.Thus a corresponding comparison theorem of the boundary value problems is established in this paper for a class of impulsive non-resonant functional differential equations whose right end is f(t,u(t),ut),which sets up the foundation to explore the existence of the solution to boundary value problems. |
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| Keywords: | impulse functional boundary value problems comparison theorem |
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