| Banach空间中一类混合型非线性微分-积分方程的最大最小解的存在性 |
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| 引用本文： | 张洪谦.Banach空间中一类混合型非线性微分-积分方程的最大最小解的存在性[J].数学研究,2002,35(2):181-186. |
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| 作者姓名： | 张洪谦 |
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| 作者单位： | 潍坊学院数学系,山东,潍坊,261043 |
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| 摘 要： | 用单调迭代的方法和一些新的比较结果，研究了Banach空间中一类事型非线性微分－积分方程的最大最小解，我们用空间E的弱完备性和锥P的正规性（这时可推出P是正则的）来代替紧性条件。
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| 关 键 词： | 混合型微分－微分方程 单调迭方法 Banach空间 |
| 修稿时间： | 2001年2月14日 |
Existence of Maximal and Minimal Solution for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces |
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| Zhang Hongqian.Existence of Maximal and Minimal Solution for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces[J].Journal of Mathematical Study,2002,35(2):181-186. |
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| Authors: | Zhang Hongqian |
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| Abstract: | In this paper, by using of the monotone iterative method and some new comparison results, the existence of maximal and minimal solution for nonlinear integro differential equations of mixed type in Banach spaces are investigated. The main characteristic of our conclusions is that we use weakly sequentially complete condition of space E and P is normal to replace the compactness type condition. |
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| Keywords: | integro differential equations of mixed type monotone iterative technique Banach spaces |
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