| 一类二阶迭代微分方程的周期解 |
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| 引用本文： | 刘锡平,贾梅. 一类二阶迭代微分方程的周期解[J]. 应用数学学报, 2004, 27(3): 481-488 |
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| 作者姓名： | 刘锡平 贾梅 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 上海市高校青年科研基金(No.02GQ24)，上海理工大学青年基金资助项目. |
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| 摘 要： | 利用拓扑度理论研究了一类二阶迭代泛函微分方程x(t) g(x(x(t)))=f(t,x(t),x(t))的周期解的存在性,得出了周期解存在的充分条件.
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| 关 键 词： | 周期解 二阶迭代泛函微分方程 拓扑度 线性同胚映射 投影算子 |
PERIODIC SOLUTIONS TO A TYPE OF SECOND ORDER DIFFERENTIAL-ITERATIVE EQUATIONS |
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| Liu Xiping,JIA Mei. PERIODIC SOLUTIONS TO A TYPE OF SECOND ORDER DIFFERENTIAL-ITERATIVE EQUATIONS[J]. Acta Mathematicae Applicatae Sinica, 2004, 27(3): 481-488 |
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| Authors: | Liu Xiping JIA Mei |
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| Abstract: | The existence of periodic solutions to a type of the second order functional differen- tial-iterative equations x(t) g(x(x(t))) = f(t,x(t),x(t)) is studied by means of the methods presented in the topological degree theory, and sufficient condition of the equation with periodic solutions is obtained. |
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| Keywords: | Functional difi'erential-iterative equation periodic solution topological degree |
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