| 具不对称非线性项的二阶常微分方程周期解的存在性 |
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| 引用本文： | 张小美,钱定边. 具不对称非线性项的二阶常微分方程周期解的存在性[J]. 数学学报, 2003, 46(5): 1017-102. DOI: cnki:ISSN:0583-1431.0.2003-05-024 |
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| 作者姓名： | 张小美 钱定边 |
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| 作者单位： | 1. 南通工学院应用数学系,南通,226007
2. 苏州大学数学系,苏州,215006 |
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| 基金项目： | 江苏省自然科学基金(BK2002037)，江苏省教育厅自然科学基金(02KJB110003) |
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| 摘 要： | 本文利用变分方法给出了具不对称非线性项的二阶常微分方程周期解的存在性的充分条件,通过例子说明本文的主要结果可看作是Landesman-Lazer条件的补充。
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| 关 键 词： | 周期解 不对称非线性 变分方法 |
| 文章编号： | 0583-1431(2003)05-1017-08 |
| 修稿时间： | 2001-08-13 |
Existence of Periodic Solutions for Second Order Differential Equations with Asymmetric Nonlinearity |
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| Xiao Mei ZHANG. Existence of Periodic Solutions for Second Order Differential Equations with Asymmetric Nonlinearity[J]. Acta Mathematica Sinica, 2003, 46(5): 1017-102. DOI: cnki:ISSN:0583-1431.0.2003-05-024 |
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| Authors: | Xiao Mei ZHANG |
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| Affiliation: | Xiao Mei ZHANG(Department of Applied Mathematics, Nantong Institute of Technology, Nantong 226007, P. R. China)Ding Bian QIAN (Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China) |
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| Abstract: | By means of a variational approach, we provide sufficient conditions for the existence of periodic solutions for scalar second order differential equations with asymmetric nonlinearities. Main result of this paper is illustrated with examples and can be seen as a supplement to the Landesman-Lazer condition. |
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| Keywords: | Periodic solutions Asymmetrical nonlinearity Variational approach |
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