| 一类非自治共振二阶系统的多重周期解 |
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| 引用本文： | 张环环. 一类非自治共振二阶系统的多重周期解[J]. 吉首大学学报(自然科学版), 2015, 36(5): 16-20. DOI: 10.3969/j.cnki.jdxb.2015.05.004 |
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| 作者姓名： | 张环环 |
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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： | 数学天元基金资助项目（11326100）;中央高校基本科研业务费专项资助项目（31920130010） |
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| 摘 要： | 研究了非自治共振二阶系统周期解的存在性问题.在非线性项次线性增长时,将这类系统的周期解转化为定义在一个适当空间上泛函的临界点,然后利用临界点理论建立了此类系统周期解的存在性结果.
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| 关 键 词： | 非自治二阶系统 临界点理论 周期解 共振 临界点 |
Multiplicity of Periodic Solution of a Class of Non-Automous Second Order System at Resonance |
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| ZHANG Huan-Huan. Multiplicity of Periodic Solution of a Class of Non-Automous Second Order System at Resonance[J]. Journal of Jishou University(Natural Science Edition), 2015, 36(5): 16-20. DOI: 10.3969/j.cnki.jdxb.2015.05.004 |
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| Authors: | ZHANG Huan-Huan |
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| Affiliation: | (College of Mathematics and Computer Science,Northwest University for Nationalities,Lanzhou 730030,China) |
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| Abstract: | The existence of periodic solutions for non-automous second order systems at resonance is investigated.With the sub-linear increase of the non-linear term,the periodic solutions of the system are converted into the critical points of a functional defined on a proper space,and the existence of periodic solutions is proved through the critical point theory. |
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| Keywords: | non-autonomous second order systems, critical point theory periodic solutions, resonance, critical point |
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