| 一类非自治二阶差分方程的周期解 |
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| 引用本文： | 肖华峰,郭志明. 一类非自治二阶差分方程的周期解[J]. 广州大学学报(自然科学版), 2007, 6(1): 12-16 |
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| 作者姓名： | 肖华峰 郭志明 |
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| 作者单位： | 广州大学,数学与信息科学学院,广东,广州,510006 |
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| 摘 要： | 研究一类二阶差分方程-Δ2x(t-1)=Fx(t,x),t∈Z,其中,f∈C(Z×Rm,R),xF(t,x)=■∈C(Z×Rm,Rm)为F关于x的梯度,且存在一个正整数M使得F(t M,x)=F(t,x).应用临界点理论,结合环绕的方法,给出了这个方程的非常数周期解存在性的一个充分条件,改进了已有文献中的结果.
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| 关 键 词： | 周期解 环绕 二阶差分方程 临界点 |
| 文章编号： | 1671-4229(2007)01-0012-05 |
| 修稿时间： | 2006-05-31 |
Periodic solution of a kind of non-autonomous second order equation |
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| XIAO Hua-feng,GUO Zhi-ming. Periodic solution of a kind of non-autonomous second order equation[J]. Journal og Guangzhou University:Natural Science Edition, 2007, 6(1): 12-16 |
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| Authors: | XIAO Hua-feng GUO Zhi-ming |
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| Affiliation: | School of Mathematics and Information Science, Guangzhou University, Guangzhou 51006, China |
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| Abstract: | By using critical theory and linking methods,we give two sets of hypotheses which guarantee the existence of non-constant solutions.We can weaken the hypotheses consideration from those used previously for such system. |
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| Keywords: | periodic solution linking second order difference equation critical point |
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