| 一阶混合型积分微分方程的周期边值问题 |
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| 引用本文： | 张福保. 一阶混合型积分微分方程的周期边值问题[J]. 应用数学和力学, 2000, 21(3): 323-330 |
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| 作者姓名： | 张福保 |
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| 作者单位： | 徐州师范大学数学系, 江苏 徐州 221009 |
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| 摘 要： | 在有一般化的上下解的条件下,研究了一阶混合型积分微分方程的周期边值问题的可解性和最小最大解的存在性。讨论基于迭合度方法,单调迭代方法和新的比较定理。
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| 关 键 词： | 一般化的上下解 迭合度 单调迭代 混合型积分微分方程 |
| 文章编号： | 1000-0887(2000)03-0323-08 |
| 收稿时间： | 1998-04-22 |
| 修稿时间： | 1998-04-22 |
Periodic Boundary Value Problems for First Order Integrodifferential Equations of Mixed Type |
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| Zhang Fubao. Periodic Boundary Value Problems for First Order Integrodifferential Equations of Mixed Type[J]. Applied Mathematics and Mechanics, 2000, 21(3): 323-330 |
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| Authors: | Zhang Fubao |
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| Affiliation: | Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu 221009, P R China |
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| Abstract: | The existence of at least one solution and the existence of extreme solutions of periodic boundary value problems for first order integrodifferential equations of mixed type are studied,in the presence of generalized upper and lower solutions. The discussion is based on new comparative theorems and coincidence degree and monotone iterative methods. |
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| Keywords: | generalized upper and lower solutions coincidence degree monotone iteration integrodifferential equation of mixed typePinus koraiensis Pinus sylvestris var.sylvestriformis Picea koraiensis Larix olgensis and Betula ermanii.(b)Based on impor |
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