| 具有一类几何条件的对称Duffing方程 |
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| 引用本文： | 钱定边.具有一类几何条件的对称Duffing方程[J].苏州大学学报(医学版),1999,15(4):1-7. |
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| 作者姓名： | 钱定边 |
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| 作者单位： | 苏州大学数学科学学院!苏州，215006 |
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| 基金项目： | NSF of Jiangsu Province, China |
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| 摘 要： | 本文讨论了具有偶或奇对称性的Ｄｕｆｆｉｎｇ方程，在由Ｃａｐｉｅｔｔｏ，Ｍａｗｈｉｎ和Ｚａｎｏｌｉｎ给出的几何条件下，我们证明了具有振动非线性的对称Ｄｕｆｆｉｎｇ方程有无穷多个对称的次调和解，并且其次调和解具有某种稠密的分布。
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| 关 键 词： | 对称Duffing方程 几何条件 对称次调和解的无穷个数和稠分布 |
ON SYMMETRIC DUFFING EQUATION WITH A GEOMETRIC CONDITION |
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| Qian Dingbian.ON SYMMETRIC DUFFING EQUATION WITH A GEOMETRIC CONDITION[J].Journal of Suzhou University(Natural Science),1999,15(4):1-7. |
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| Authors: | Qian Dingbian |
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| Abstract: | In this paper, we deal with the Duffing equation with the even or odd symmetry. We proved, under a geometric condition given by Capietto, Mawhin and Zanolin, the infinity and some dense distribution of even or odd symmetric subharmonics for the equation with oscillatory nonlinearity. |
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| Keywords: | symmetric Duffing equation geometric condition infinity and dense distribution of symmetric subharmonics |
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