| 脉冲时滞泛函微分方程正周期解的存在性 |
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| 引用本文： | 胡秀林,周宗福. 脉冲时滞泛函微分方程正周期解的存在性[J]. 合肥工业大学学报(自然科学版), 2009, 32(4) |
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| 作者姓名： | 胡秀林 周宗福 |
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| 作者单位： | 合肥学院,数学与物理系,安徽,合肥,230601;安徽大学,数学科学学院,安徽,合肥,230039 |
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| 基金项目： | 国家自然科学基金,安徽省教育厅青年教师科研项目,安徽大学人才队伍建设经费资助项目,合肥学院自然科学基金 |
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| 摘 要： | 文章利用Banach空间中Krasnoselskii锥不动点定理,主要讨论了2类带有脉冲和时滞的泛函微分方程的周期正解的存在性,建立了正解存在的几个充分条件,在一定意义上突破了该类泛函微分方程周期正解存在性的判别条件的某些限制.
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| 关 键 词： | 脉冲时滞泛函微分方程 周期正解 不动点 |
Existence of positive periodic solutions for functional differential equations with impulses and delay |
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| HU Xiu-lin,ZHOU Zong-fu. Existence of positive periodic solutions for functional differential equations with impulses and delay[J]. Journal of Hefei University of Technology(Natural Science), 2009, 32(4) |
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| Authors: | HU Xiu-lin ZHOU Zong-fu |
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| Affiliation: | 1.Dept.of Mathematics and Physics;Hefei College;Hefei 230601;China;2.School of Mathematical Science;Anhui University;Hefei 230039;China |
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| Abstract: | By using Krasnoselskii's fixed point theorem in a cone in the Banach space,the existence of periodic solutions for two classes of periodic differential equations with impulses and delay is discussed in this paper.Some sufficient conditions for the existence of positive periodic solutions are established which break the limitations to the related problems to some extent. |
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| Keywords: | functional differential equation with impulse and delay positive periodic solution fixed point |
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