| 一类泛函微分方程周期正解的存在性 |
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| 引用本文： | 朱先阳,李永昆. 一类泛函微分方程周期正解的存在性[J]. 数学杂志, 2006, 26(5): 491-500 |
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| 作者姓名： | 朱先阳 李永昆 |
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| 作者单位： | 1. 云南大学数学系,云南昆明,650091;上海大学数学系,上海,200436
2. 云南大学数学系,云南昆明,650091 |
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| 基金项目： | Supported by the National Natural Sciences Foundation (10361006) and the Natural Sciences Foundation of Yunnan Province (2003A0001 M) . |
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| 摘 要： | 本文研究了一类带参数的高维泛函微分程(1.1)的周期正解的存在性.利用一个著名的不动点指标定理,获得了该方程周期正解的存在性、多重性和不存在性.
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| 关 键 词： | 周期正解 存在性 多重性 锥 不动点指标定理 |
| 文章编号： | 0255-7797（2006）05-0491-10 |
| 收稿时间： | 2004-06-01 |
| 修稿时间： | 2004-06-012004-10-28 |
EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| ZHU Xian-yang,LI Yong-kun. EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS[J]. Journal of Mathematics, 2006, 26(5): 491-500 |
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| Authors: | ZHU Xian-yang LI Yong-kun |
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| Affiliation: | Dept. of Math., Yunnan University, Kunming 650091, China;Dept.of Math.,Shanghai University,Shanghai 200436,China;Dept. of Math., Yunnan University, Kunming 650091, China |
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| Abstract: | In this paper, we study a higher-dimensional functional differential equation with a parameter(1.1).By using a well-known fixed point index theorem,we obtain the existence,multiplicity and nonexistence of positive periodic solution(s) to this equation. |
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| Keywords: | Positive periodic solution existence multiplicity cone fixed point index theorem |
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