| 条件压缩算子不动点与Banach空间Volterra型积分方程的解 |
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| 引用本文： | 孟京华,吴鑫. 条件压缩算子不动点与Banach空间Volterra型积分方程的解[J]. 四川师范大学学报(自然科学版), 2007, 30(5): 569-573 |
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| 作者姓名： | 孟京华 吴鑫 |
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| 作者单位： | 九江学院,理学院,数学系,江西,九江,332000;九江学院,理学院,数学系,江西,九江,332000 |
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| 摘 要： | 给出了Banach空间条件压缩算子定义,讨论了此类算子不动点的存在性和Banach空间中非线性Volterra型积分方程解的存在性和唯一性.
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| 关 键 词： | 条件压缩算子 Volterra型积分方程 不动点 |
| 文章编号： | 1001-8395（2007）05-0569-05 |
| 收稿时间： | 2005-12-14 |
| 修稿时间： | 2005-12-14 |
Fixed Points of Condition Contraction Operators and Solutions for Nonlinear Volterra Type Integral Equations in Banach Spaces |
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| MENG Jing-hua,WU Xin. Fixed Points of Condition Contraction Operators and Solutions for Nonlinear Volterra Type Integral Equations in Banach Spaces[J]. Journal of Sichuan Normal University(Natural Science), 2007, 30(5): 569-573 |
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| Authors: | MENG Jing-hua WU Xin |
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| Affiliation: | Deparment of Mathematics, College of Science, Jiujiang University, Jiujiang 332000, Jiangxi |
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| Abstract: | In this paper,the concept of condition contraction operator is defined,the existence of fixed points of this class of operators and the existence as well as the uniqueness of solutions for nonlinear Volterra type integral equations in Banach spaces are discussed. |
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| Keywords: | Condition contraction operator Volterra type integral equation Fixd point |
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