| Banach空间混合型二阶微分—积分方程解的存在唯一性定理 |
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| 引用本文： | 孙钦福,栾世霞. Banach空间混合型二阶微分—积分方程解的存在唯一性定理[J]. 淮北煤炭师范学院学报(自然科学版), 1998, 0(4) |
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| 作者姓名： | 孙钦福 栾世霞 |
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| 作者单位： | 曲阜师范大学数学系!曲阜，273165，曲阜师范大学数学系!曲阜，273165 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 摘 要： | 本文利用混合单调迭代技巧和一个新的比较结果，研究了Banach空间中非线性混合型二阶微分—积分方程两点边值问题唯一解的存在性及迭代逼近，并给出了迭代列与唯一解之间的误差估计式．
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| 关 键 词： | 微分—积分方程 锥 唯一解 两点边值 |
Existence and Uniqueness Theorems of Solutions for Second Order Integrodifferential Equations of Mixed Type in Banach Spaces |
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| Sun Qinfu,Luan Shikia. Existence and Uniqueness Theorems of Solutions for Second Order Integrodifferential Equations of Mixed Type in Banach Spaces[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 1998, 0(4) |
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| Authors: | Sun Qinfu Luan Shikia |
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| Abstract: | In this paper,by use of a new comparison result and mixed monotone iterative technique,the unique solution and iterative approximate of solution of the two-point boundary value problem for nonlinear integrodifferential equations of mixed type in Banach spaces are investigated.At the same time.We give out the formula in error estimate between successive sequeness and unique solution. |
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| Keywords: | integro-differential equations cone unique solution two-point botindare value |
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