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| 具有周期扰动的差分方程的周期解 | |
| 引用本文： | 李自强,刘金枝. 具有周期扰动的差分方程的周期解[J]. 邵阳学院学报(自然科学版), 2005, 2(3): 2-3 |
| 作者姓名： | 李自强 刘金枝 |
| 作者单位： | 中南大学,数学与技术科学学院,湖南,长沙,410075 |
| 摘 要： | 考虑了一类扰动的差分方程：x（n＋1）-x（n）=b（n，xn）＋f（n，xn）。利用广义度理论证明了方程在对应齐次线性方程只有平凡的N周期解的情况下至少存在一个N周期解。应用此结果，得到了周期解的存在唯一性准则。 |
| 关 键 词： | 广义度理论 差分方程 周期解 |
| 文章编号： | 1672-7010（2005）03-0002-02 |
| 收稿时间： | 2005 |
On the Periodic Solution for the Difference Euqations with Periodic Disturbance |
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| LI Zi-qiang,LIU Jin-zhi. On the Periodic Solution for the Difference Euqations with Periodic Disturbance[J]. Journal of Shaoyang University(Natural Science Edition), 2005, 2(3): 2-3 | |
| Authors: | LI Zi-qiang LIU Jin-zhi |
| Abstract: | In this paper is concerned with a closs of difference equation with disturbance: x(n+1)-x(n)=b(n-x_n)-f(n-x_n).It proves by the generalized degree theory that the equation has at least one N-periodic solution if the corresponding homogeneous euqation has only a triveal N-periodic solution.By this result,the criteria of existence and uniqueness of the periodic solution is obtained. |
| Keywords: | generalized degree theory difference equation periodic solution |
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