| 二阶积分微分方程周期边值问题的解的存在性 |
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| 引用本文： | 洪世煌,胡适耕.二阶积分微分方程周期边值问题的解的存在性[J].应用数学和力学,2000,21(3):315-322. |
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| 作者姓名： | 洪世煌 胡适耕 |
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| 作者单位： | 1.海南大学理工学院, 海口 570228; |
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| 基金项目： | 海南省教育厅自然科学资助项目 |
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| 摘 要： | 通过对比结果,用单调迭代方法证明了Banach空间中二阶积分微分方程的周期边值问题的最大最小解的存在性定理。
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| 关 键 词： | 序Banach空间 周期边值问题 最大最小解 |
| 文章编号： | 1000-0887(2000)03-0315-08 |
| 收稿时间： | 1997-09-13 |
| 修稿时间： | 1997-09-13 |
Existence of Solutions for Periodic Boundary Value Problem for Second Order Integro-Differential Equations |
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| Hong Shihuang,Hu Shigeng.Existence of Solutions for Periodic Boundary Value Problem for Second Order Integro-Differential Equations[J].Applied Mathematics and Mechanics,2000,21(3):315-322. |
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| Authors: | Hong Shihuang Hu Shigeng |
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| Institution: | 1.Science and Engineering College, Hainan University, Haikou 570228, P R China;2.Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P R China |
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| Abstract: | By establishing a
comparison result and using monotone iterative methods, the theorem of existence for
minimal and maximal solutions of periodic boundary value problems for second order
nonlinear integro-differential equations in Banach Spaces is proved. |
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| Keywords: | ordered Banach spaces periodic boundary value problems maximal and minimal solutions |
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