| 一类非自治常p-Laplace系统的多重周期解 |
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| 引用本文： | 张申贵.一类非自治常p-Laplace系统的多重周期解[J].应用泛函分析学报,2014(2):177-182. |
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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,兰州730030 |
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| 基金项目： | 资助项目：国家自然科学基金（31260098）;中央高校基本科研业务费专项资助（31920130004）;西北民族大学中青年科研项目（12xB38） |
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| 摘 要： | 利用临界点理论研究具有部分周期位势的非自治常p-Laplace系统周期解的存在性．在具有p-线性增长非线性项时，根据广义鞍点定理，得到了系统多重周期解存在的充分条件．
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| 关 键 词： | 常p—Laplace系统 周期解 临界点 |
Multiple Periodic Solutions for Non-Autonomous Ordinary p-Laplacian Systems |
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| ZHANG Shengui.Multiple Periodic Solutions for Non-Autonomous Ordinary p-Laplacian Systems[J].Acta Analysis Functionalis Applicata,2014(2):177-182. |
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| Authors: | ZHANG Shengui |
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| Institution: | ZHANG Shengui (College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China) |
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| Abstract: | By using critical point theory, the authors studied the existence of periodic solutions for non-autonomous ordinary p-Laplacian systems with partially periodic potentials in the cases when the nonlinearity grows p-linearly. Some sufficient conditions for existence of multiple periodic solutions are obtained via the generalized saddle point theorem. |
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| Keywords: | ordinary p-Laplacian systems periodic solutions critical point |
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