| 非线性差分方程的多重周期解 |
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| 引用本文： | 方飞,王楠,刘轼波.非线性差分方程的多重周期解[J].数学研究,2008,41(3):234-239. |
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| 作者姓名： | 方飞 王楠 刘轼波 |
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| 作者单位： | 厦门大学数学学院,福建,厦门,361005 |
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| 基金项目： | 国家自然科学基金，NCETFJ |
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| 摘 要： | 用变分方法得到一类非线性差分方程多重周期解的存在性．我们的结果推广了Cai，Yu和GuoComput．Math．Appl．，52（2006），1630-1647]的结果，并且这里给出的证明显著地简化了．
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| 关 键 词： | 差分方程的周期解 Palais-Smale条件 三临界点定理 Clark定理 |
Multiple Periodic Solutions for Nonlinear Difference Equations |
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| Fang Fei,Wang Nan,Liu Shibo.Multiple Periodic Solutions for Nonlinear Difference Equations[J].Journal of Mathematical Study,2008,41(3):234-239. |
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| Authors: | Fang Fei Wang Nan Liu Shibo |
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| Institution: | Fang Fei Wang Nan Liu Shibo (School of Mathematical Sciences, Xiamen University Xiamen, Xiamen Fujian 361005) |
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| Abstract: | Multiple solutions for a class of nonlinear difference equations are obtained by variational methods. Our results generalize a recent result of Cai,Yu and GuoComput.Math.Appl.,52(2006),1630-1647],and the argument here is considerably simpler. |
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| Keywords: | periodic solutions for difference equations palais-Smale condition three critical points theorem Clark's theorem |
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