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| Banach空间非线性混合型微分—积分方程周期边值问题的极值解 | |
| 引用本文： | 张晓燕,房庆平. Banach空间非线性混合型微分—积分方程周期边值问题的极值解[J]. 应用数学, 2001, 14(3): 7-12 |
| 作者姓名： | 张晓燕 房庆平 |
| 作者单位： | 1. 曲阜师范大学数学系, 2. 济南交通高等专科学校, |
| 基金项目： | Project supported by National Natural Science Foundation of China (19871048); Natural ScienceFoundation of Shandong Province of China(Y98A09012) |
| 摘 要： | 本文通过建立Banach空间非线性混合型微分－积分方程周期边值问题新的比较定理，来研究最小解和最大解的存在性以及解的迭代逼近。 |
| 关 键 词： | 混合型微分方程－积分方程 周期边值问题 单调迭代方法 锥理论 Banach空间 非线性 比较定理 极值解 |
| 文章编号： | 1001-9847(2001)03-0007-06 |
Extremal Solutions of Periodic Boundary Value Problems for Nonlinear Integro-differential Equations of Mixed Type in Banach Spaces |
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| ZHANG Xiao-yan ,FANG Qing-ping. Extremal Solutions of Periodic Boundary Value Problems for Nonlinear Integro-differential Equations of Mixed Type in Banach Spaces[J]. Mathematica Applicata, 2001, 14(3): 7-12 | |
| Authors: | ZHANG Xiao-yan FANG Qing-ping |
| Affiliation: | ZHANG Xiao-yan 1,FANG Qing-ping 2 |
| Abstract: | In this paper, by establishing a new comp ar ison result, the minimal and maximal solutions and iterative approximation of so lutions of the periodic boundary value problems for nonlinear integro-different ial equations of mixed type in Banach spaces are investigated. |
| Keywords: | Integro-differential equations of mixed type Periodic boundary value problem Monotone iterative technique Cone theory |
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