| 增算子不动点的迭代方法及其应用 |
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| 引用本文： | 陆海霞.增算子不动点的迭代方法及其应用[J].徐州师范大学学报(自然科学版),2006,24(2):41-45. |
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| 作者姓名： | 陆海霞 |
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| 作者单位： | 宿迁学院,江苏,宿迁,223800;徐州师范大学,数学系,江苏,徐州,221116 |
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| 基金项目： | 国家自然科学基金资助项目(10371066) |
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| 摘 要： | 设E是Banach空间,本文给出了CI,E]空间中增算子不动点的迭代方法.利用该方法讨论了Banach空间中非线性积分-微分方程初值问题解的存在性及其迭代求法.
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| 关 键 词： | 增算子 不动点 迭代方法 积分-微分方程 |
| 文章编号： | 1007-6573(2006)02-0041-05 |
| 收稿时间： | 11 28 2005 12:00AM |
| 修稿时间： | 2005年11月28 |
The Iterative Technique of Fixed Point for Increasing Operators and Its Application |
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| LU Hai-xia.The Iterative Technique of Fixed Point for Increasing Operators and Its Application[J].Journal of Xuzhou Normal University(Natural Science Edition),2006,24(2):41-45. |
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| Authors: | LU Hai-xia |
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| Institution: | 1College of Suqian, Suqian, Jiangsu, 223800, China;2 Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China |
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| Abstract: | A new theorem of fixed point and an iterative techni qu e for increasing operators in(C\) are obtained,where E is a Ban ach space.As an application,the existence of solutions and the iterative techniq ue of the initial value problem for nonlinear integro-differential equations in Banach sp aces are discussed. |
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| Keywords: | increasing operator fixed point iterative technique integro-differential equation |
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