| 非线性二阶差分方程周期解的多重性 |
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| 引用本文： | 陈永刚,胡哲. 非线性二阶差分方程周期解的多重性[J]. 甘肃科学学报, 2008, 20(2): 13-17 |
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| 作者姓名： | 陈永刚 胡哲 |
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| 作者单位： | 中国石油大学数学与计算科学学院,山东,东营,257061 |
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| 摘 要： | 变分方法是研究非线性差分方程周期解存在性的一种新的并且行之有效的方法．运用极小极大定理研究带有次线性项的二阶差分方程-△^2un-1=μun^a＋f（n，un），n∈Z,a∈（0，1）证明了至少3个非平凡周期解的存在性．
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| 关 键 词： | 非线性差分方程 变分法 环绕 极小极大定理 非平凡周期解 |
Multiplicity of Periodic Solutions of Second Order Nonlinear Difference Equations |
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| CHEN Yong-gang,HU Zhe. Multiplicity of Periodic Solutions of Second Order Nonlinear Difference Equations[J]. Journal of Gansu Sciences, 2008, 20(2): 13-17 |
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| Authors: | CHEN Yong-gang HU Zhe |
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| Affiliation: | CHEN Yong-gang,HU Zhe(School of Mathematics , Computational Sciences,China University of Petroleum,Dongying 257061,China) |
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| Abstract: | The variational method is an effective method for studying the existence of periodic for nonlinear difference equations. In this paper, we use minimax theorem to study the following second order nonlinear difference equations-△^2un-1=μun^a＋f（n,un）,n∈Z,a∈（0,1） ,and obtain the existence of at least three nontrivial periodic solutions. |
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| Keywords: | nonlinear difference equation linking minimax theorem nontrivial period solutions. |
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