| 一类三阶具偏差变元微分方程的周期解 |
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| 引用本文： | 汪娜,鲁世平,章家顺,沈佐民. 一类三阶具偏差变元微分方程的周期解[J]. 兰州大学学报(自然科学版), 2006, 42(6): 111-117 |
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| 作者姓名： | 汪娜 鲁世平 章家顺 沈佐民 |
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| 作者单位： | 1. 池州师范专科学校,数学系,安徽,池州,247000
2. 安徽师范大学,数学与计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | 安徽省自然科学基金，安徽省教育厅自然科学基金 |
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| 摘 要： | 利用重合度理论研究一类三阶具偏差变元微分方程c(t)x'(t) 2∑i=0[aix(i)2k-1(t) bix(i)2k-1(t-τi)] g1(x(t)) g2(x(t-τ(t))) = p(t)的2π-周期解问题,得到了其存在2π-周期解的一些新的结果.
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| 关 键 词： | 偏差变元 周期解 重合度理论 |
| 文章编号： | 0455-2059（2006）06-0111-07 |
| 收稿时间： | 2005-08-08 |
| 修稿时间： | 2005-08-08 |
Periodic solutions to third-order functional differential equation with deviating argument |
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| WANG Na,LU Shi-ping,ZHANG Jia-shun,SHEN Zuo-min. Periodic solutions to third-order functional differential equation with deviating argument[J]. Journal of Lanzhou University(Natural Science), 2006, 42(6): 111-117 |
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| Authors: | WANG Na LU Shi-ping ZHANG Jia-shun SHEN Zuo-min |
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| Affiliation: | 1. Department of Mathematics, Chizhou Teachers College, Chizhou 247000, Anhui, China; 2. School of Mathematics and Computer Sciences, Anhui Normal Unversity, Wuhu 241000, Anhui, China |
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| Abstract: | By means of Mawhin's continuation theorem, we studied a kind of third order functional differential equation with deviating arguments in the following form: c(t)x''(t) +2∑i=0[aix(i)2k-1(t) + bix(i)2k-1(t-τi)] + g1(x(t)) + g2(x(t-τ(t))) = p(t), and some new results on the existence of 2π-periodic solutions are obtained. |
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| Keywords: | deviating argument periodic solution continuation theorem |
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