| 二阶次线性自治差分方程周期解的存在性 |
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| 引用本文： | 李建伟.二阶次线性自治差分方程周期解的存在性[J].湖南文理学院学报(自然科学版),2007,19(2):27-29,39. |
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| 作者姓名： | 李建伟 |
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| 作者单位： | 湖南财经高等专科学校,基础课部,湖南,长沙,410082 |
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| 摘 要： | 利用临界点理论讨论了一类二阶自治差分方程xn 1-2xn xn-1 f(xn)=0(n∈Z,f∈C(Rm,Rm))的非常数周期解的存在性,得到两个非常数周期解存在的充分条件.
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| 关 键 词： | 次线性 差分方程 非平凡周期解 环绕 |
| 文章编号： | 1672-6146（2007）02-0027-03 |
| 修稿时间： | 2007-01-28 |
The Existence of Periodic Solutions of a Class of Second-order Difference Equations |
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| LI Jian-wei.The Existence of Periodic Solutions of a Class of Second-order Difference Equations[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2007,19(2):27-29,39. |
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| Authors: | LI Jian-wei |
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| Institution: | Hunan Finance and Economic College, Changsha Htinan 410082 |
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| Abstract: | The existence of periodic solutions of a class of second-order difference equations was studied. Two important results were obtained, some of which extend some theorems in relevant papers. |
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| Keywords: | critical point subquadratic difference equa- tion nontrivial periodic solution existence |
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