| 发展型p-Laplacian 方程组的周期解 |
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| 引用本文： | 魏英杰,高文杰. 发展型p-Laplacian 方程组的周期解[J]. 数学研究及应用, 2010, 30(3): 390-398. DOI: 10.3770/j.issn:1000-341X.2010.03.002 |
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| 作者姓名： | 魏英杰 高文杰 |
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| 作者单位： | 吉林大学数学学院, 吉林 长春 130012;吉林大学数学学院, 吉林 长春 130012 |
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| 基金项目： | 国家自然科学基金(Grant No.10771085);知识工程与符号计算教育部重点实验室和吉林大学``985工程'项目基金. |
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| 摘 要： | In this paper, the authors study the existence of periodic solutions to an evolution p-Laplacian system. The authors prove a comparison principle of the system in general form. Then the existence of periodic solutions to the system of evolution p-Laplacian equations is obtained with the help of the comparison principle and the monotone iteration technique.
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| 关 键 词： | existence periodic solutions p-Laplacian system. |
| 收稿时间： | 2008-07-07 |
| 修稿时间： | 2008-10-10 |
Periodic Solutions to an Evolution $p$-Laplacian System |
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| Ying Jie WEI and Wen Jie GAO. Periodic Solutions to an Evolution $p$-Laplacian System[J]. Journal of Mathematical Research with Applications, 2010, 30(3): 390-398. DOI: 10.3770/j.issn:1000-341X.2010.03.002 |
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| Authors: | Ying Jie WEI and Wen Jie GAO |
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| Affiliation: | Institute of Mathematics, Jilin University, Jilin 130012, P. R. China |
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| Abstract: | In this paper, the authors study the existence of periodic solutions to an evolution $p$-Laplacian system. The authors prove a comparison principle of the system in general form. Then the existence of periodic solutions to the system of evolution $p$-Laplacian equations is obtained with the help of the comparison principle and the monotone iteration technique. |
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| Keywords: | existence periodic solutions p-Laplacian system. |
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