| 一类高阶非线性Duffing型微分方程周期解的存在与唯一性 |
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| 引用本文： | 宋利梅.一类高阶非线性Duffing型微分方程周期解的存在与唯一性[J].山西大学学报(自然科学版),2011,34(4):548-554. |
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| 作者姓名： | 宋利梅 |
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| 作者单位： | 嘉应学院数学学院,广东梅州,514015 |
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| 基金项目： | 广东省自然科学基金(10151063101000003); 广东省梅州市科学技术局与嘉应学院联合资助项目(2010KJA34) |
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| 摘 要： | 考虑一类具有时滞的高阶非线性Duffing型微分方程,利用重合度理论,获得此方程存在唯一周期解的充分条件.
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| 关 键 词： | Duffing型微分方程 重合度 周期解 |
Existence and Uniqueness of Periodic Solutions for Higher Order Nonlinear Duffing Differential Equation |
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| SONG Li-mei.Existence and Uniqueness of Periodic Solutions for Higher Order Nonlinear Duffing Differential Equation[J].Journal of Shanxi University (Natural Science Edition),2011,34(4):548-554. |
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| Authors: | SONG Li-mei |
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| Institution: | SONG Li-mei(School of Mathematics,Jiaying University,Meizhou 514015,China) |
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| Abstract: | A higher order delay nonlinear Duffing differential equation is considered.By using the theory of coincidence degree,a sufficient condition of existence and uniqueness of periodic solution is obtained. |
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| Keywords: | Duffing differential equation coincidence degree periodic solution |
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