| 一类二阶常微分-积分方程周期边值问题的解 |
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| 引用本文： | 陆海霞.一类二阶常微分-积分方程周期边值问题的解[J].南通大学学报(自然科学版),2010,9(1):78-81. |
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| 作者姓名： | 陆海霞 |
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| 作者单位： | 宿迁学院教育系,江苏,宿迁,223800 |
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| 基金项目： | 国家自然科学基金项目(10971197);;宿迁学院科研基金项目(2008KY07) |
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| 摘 要： | 在Banach空间中利用上下解方法和增算子不动点定理,研究了含间断项的二阶常微分-积分方程周期边值问题最大解、最小解的存在性及其迭代求法,推广并改进了现有的结果.
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| 关 键 词： | 二阶常微分-积分方程 周期边值问题 增算子 不动点 上下解 单调迭代法 |
Solutions of Periodic Boundary Value Problem for a Certain Second-Order Differential-Integro Equation |
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| Authors: | LU Hai-xia |
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| Institution: | Education Department/a>;Suqian College/a>;Suqian 223800/a>;China |
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| Abstract: | This paper investigates the existence of maximal and minimal solution and the iterative technique of the periodic boundary value problem for a certain second-order differential-integro equation with discontinuous terms in Banach space, by using upper and lower solution and fixed point theorem for increasing operators. Moreover, we extend and improve some recent results. |
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| Keywords: | second-order differential-integro equation periodic boundary value problem increasing operator fixed point up-lower solutions monotone iterative technique |
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