| 一类共振二阶系统的多重周期解 |
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| 引用本文： | 孟海霞,郭晓峰.一类共振二阶系统的多重周期解[J].华东师范大学学报(自然科学版),2006,2006(1):40-44,139. |
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| 作者姓名： | 孟海霞 郭晓峰 |
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| 作者单位： | 兰州交通大学,数理学院,兰州,730070;西安电子科技大学,应用数学系,西安,710071 |
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| 摘 要： | 利用Z2型山路定理,获得关于形如ü(t)+k2ω2u+▽F(t,u(t))=0(a．e．t∈0,T])的超二次共振非自治二阶系统,当无界时,多重周期解存在性的定理．
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| 关 键 词： | 二阶系统 共振 超二次 非自治 周期解 临界点 |
| 文章编号： | 1000-5641（2006）01-0040-05 |
| 收稿时间： | 2004-09-20 |
Multi-periodic Solutions for A Class of Resonance Second Order Systems |
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| MENG Hai-xia,GUO Xiao-feng.Multi-periodic Solutions for A Class of Resonance Second Order Systems[J].Journal of East China Normal University(Natural Science),2006,2006(1):40-44,139. |
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| Authors: | MENG Hai-xia GUO Xiao-feng |
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| Institution: | 1. College of Mathematics and Physics , Lanzhou Jiaotong University, Lanzhou 730070, China; 2. Department of Applied Mathematics , Xidian University , Xi'an 710071, China |
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| Abstract: | The existence and multiplicity of periodic solutions are obtained for a class of su-perquadratic resonance nonautonomous second order systems ü(t)+k2ω2u+▽F(t, u(t)) = 0, a.e.t ∈ 0,T] by Z2 version of the Mountain Pass Theorem on the condition that is unbounded. |
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| Keywords: | second order systems resonance superquadratic Z2 version of the MountainPass Theorem nonautonomous periodic solution critical point |
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