| 一类有脉冲一阶泛函微分方程的正周期解 |
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| 引用本文： | 文香丹,苑成军,徐艳华. 一类有脉冲一阶泛函微分方程的正周期解[J]. 吉林大学学报(理学版), 2008, 46(6): 1073-1080 |
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| 作者姓名： | 文香丹 苑成军 徐艳华 |
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| 作者单位： | 延边大学,理学院数学系,吉林,延吉,133002;哈尔滨学院,数学与计算机学院,哈尔滨,150086;东北师范大学,数学与统计学院,长春,130024 |
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| 基金项目： | 国家自然科学基金，黑龙江省教育厅科学技术研究项目基金，哈尔滨学院学科基金项目 |
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| 摘 要： | 利用锥不动点定理研究有脉冲的一阶泛函微分方程正周期解的存在性, 给出了多时滞的一阶脉冲微分方程周期解存在的充分条件, 并且讨论了生态学中所提出的几类时滞脉冲微分方程模型, 包括红细胞再生模型、 果蝇模型和多时滞的Logistic方程等.
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| 关 键 词： | 泛函微分方程 正周期解 脉冲 锥不动点定理 |
| 收稿时间： | 2008-04-11 |
Positive Periodic Solutions to a Kind of Delay Functional Differential Equations with Impulse Effects |
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| WEN Xiang-dan,YUAN Cheng-jun,XU Yan-hua. Positive Periodic Solutions to a Kind of Delay Functional Differential Equations with Impulse Effects[J]. Journal of Jilin University: Sci Ed, 2008, 46(6): 1073-1080 |
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| Authors: | WEN Xiang-dan YUAN Cheng-jun XU Yan-hua |
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| Affiliation: | 1. Department of Mathematics, College of Sciences, Yanbian University, Yanji 133002, Jilin Province, China;2. College of Mathematics and Computer, Harbin University, Harbin 150086, China;3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China |
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| Abstract: | Employing a fixed point theorem in cones, we discussed mainly the existence of positive solution to periodic problems for the first impulsive functional differential equations, obtained the existence positive periodic solutions of the problem for first impulsive functional differential equations with delay. And we also discussed impulsive differential equations applied to biological system, for example, the Hematopoiesis model, the more general model of blood cell production, and the more general Nicholson’s blowflies model and so on. |
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| Keywords: | functional differential equation positive periodic solution impulse fixed point theorem |
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