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| 一类泛函微分方程多解的存在性 | |
| 引用本文： | 金爱云,王东晓,毛北行. 一类泛函微分方程多解的存在性[J]. 新乡学院学报(自然科学版), 2011, 0(5): 394-396 |
| 作者姓名： | 金爱云 王东晓 毛北行 |
| 作者单位： | 郑州航空工业管理学院数理系 |
| 基金项目： | 河南省教育厅自然科学基金项目(2011B110030) |
| 摘 要： | 利用锥上的指数不动点定理研究了一类泛函微分方程x＇（t）=-a（t）f（x（t—τ（f）））x（t）＋g（t，x（t—τ（t）））的多个周期解的问题，得到了这类方程至少存在两个周期解． |
| 关 键 词： | 泛函微分方程 周期解 雏 不动点定理 |
The Existence of Several Periodic Solutions for a Class of Functional Differential Equations |
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| JIN Ai-yun,WANG Dong-xiao,MAO Bei-xing. The Existence of Several Periodic Solutions for a Class of Functional Differential Equations[J]. , 2011, 0(5): 394-396 | |
| Authors: | JIN Ai-yun WANG Dong-xiao MAO Bei-xing |
| Affiliation: | (Department of Mathematics and Physics,Zhengzhou Institute of Aeronautical of Industry Management, Zhengzhou 450015,China) |
| Abstract: | By using the fixed point index theorem of cone, the authors study the existence of several periodic solutions for a class of functional differential equation x＇（t） = -a（t）f（x（t- τ（t）））x（t） ＋ g（t,x（t- τ（t）））. Some results for the existence of at least two periodic solutions to such equation are obtained. |
| Keywords: | functional differential equation periodic solution cone fixed point theorem |
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