| p-Laplacian一类Duffing方程正周期解的存在性与唯一性 |
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| 引用本文： | 程志波,向上.p-Laplacian一类Duffing方程正周期解的存在性与唯一性[J].郑州大学学报(自然科学版),2013(2):1-5. |
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| 作者姓名： | 程志波 向上 |
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| 作者单位： | [1]郑州大学数学系,河南郑州450001 [2]河南理工大学数学与信息科学学院,河南焦作454000 [3]河南省轻工业职工大学数学系,河南郑州450000 |
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| 基金项目： | 国家自然科学基金资助项目,编号11271339. |
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| 摘 要： | 用Manasevich-Mawhin连续定理，证明了一类p-Laplacian一类Duffing方程正周期解的存在性和唯一性，得到新的结论并改进前人的一些结论．
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| 关 键 词： | 正周期解 Manasevich—Mawhin定理 p-Laplacian一类 Duffing方程 唯一性 |
Existence and Uniqueness of Positive Periodic Solutions for Duffing Type p-Laplacian-like Equations |
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| CHENG Zhi-bo,XIANG Shang.Existence and Uniqueness of Positive Periodic Solutions for Duffing Type p-Laplacian-like Equations[J].Journal of Zhengzhou University (Natural Science),2013(2):1-5. |
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| Authors: | CHENG Zhi-bo XIANG Shang |
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| Institution: | 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China ; 2. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454000, China; 3. Department of Mathematics, Henan University of Light Industry Workers, Zhengzhou 450000, China) |
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| Abstract: | By using Manasevich-Mawhin continuation and uniqueness of positive periodic solutions for Duffing theorem, some sufficient conditions for existence type p-Laplacian-like equations were established. The results were new and some previous known results were complemented. |
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| Keywords: | positive periodic solution Manasevich-Mawhin theorem p-Laplacian-like Duffing equation uniqueness |
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