| 一类迭代微分方程周期解的存在性 |
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| 引用本文： | 李翠哲 葛渭高. 一类迭代微分方程周期解的存在性[J]. 北京理工大学学报, 2000, 20(5): 534-538 |
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| 作者姓名： | 李翠哲 葛渭高 |
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| 作者单位： | 北京理工大学,应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金;19871005; |
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| 摘 要： | 利用Ｓｃｈａｕｄｅｒ不动点定理和直接分析的方法研究一类迭代微分方程在一定条件下周期解的存在性及解的性态，并在合理的条件，获得了一类迭代微分方程周期解的存在性结果和解的单调性态。
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| 关 键 词： | 迭代微分方程 不动点 周期解 存在性 |
The Existence of the Periodic Solutions of a Type of Differential-Iterative Equation |
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| LI Cui zhe,GE Wei gao. The Existence of the Periodic Solutions of a Type of Differential-Iterative Equation[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2000, 20(5): 534-538 |
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| Authors: | LI Cui zhe GE Wei gao |
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| Abstract: | Under some assumption, a direct analysis technique and Schauder fixed point theorem were used. To investigate the existence and the behavior of the periodic solutions to a type of differential iterative equation. The results of the existence and the monotonicity of the periodic solutions to a type of differential iterative equation are obtained under reasonable conditions. |
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| Keywords: | differential iterative equation fixed point periodic solution |
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