| 非自治常微分p-Laplacian系统周期解的存在性 |
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| 引用本文： | 张申贵. 非自治常微分p-Laplacian系统周期解的存在性[J]. 河北科技师范学院学报, 2012, 26(3): 28-33,62 |
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| 作者姓名： | 张申贵 |
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| 作者单位： | 西北民族大学数学与计算机科学学院,甘肃兰州,730030 |
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| 基金项目： | 国家自然科学基金项目，西北民族大学中青年科研项目 |
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| 摘 要： | 研究了非自治常微分p-Laplacian系统的周期解的存在性。当具有p-线性增长非线性项时,利用临界点理论中的鞍点定理得到了系统周期解存在性的充分条件,所得结果推广了已有结果。
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| 关 键 词： | 常微分p-Laplacian系统 周期解 临界点理论 |
Existence of Periodic Solutions to Non-autonomous Ordinary p-Laplacian Systems |
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| ZHANG Shen-gui. Existence of Periodic Solutions to Non-autonomous Ordinary p-Laplacian Systems[J]. Journal of Hebei Normal University of Science & Technology, 2012, 26(3): 28-33,62 |
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| Authors: | ZHANG Shen-gui |
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| Affiliation: | ZHANG Shen-gui ( College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou Gansu ,730030, China) |
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| Abstract: | This paper studied the existence of periodic solutions to non-autonomous ordinary differentia/ p- Laplacian systems with p-linear nonlinearity. Some sufficient conditions for the existence of periodic solutions are obtained by using the saddle point theorem in critical point theory, and the results improved the existing ones. |
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| Keywords: | ordinary differential p-Laplacian systems periodic solutions critical point theory |
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