| 一类带有参数的时滞微分方程的周期正解 |
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| 引用本文： | 荆素风.一类带有参数的时滞微分方程的周期正解[J].太原师范学院学报(自然科学版),2013(3):43-46. |
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| 作者姓名： | 荆素风 |
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| 作者单位： | 太原旅游职业学院,山西太原030032 |
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| 摘 要： | 时滞微分方程周期正解的存在性问题具有重要的理论及实际意义.利用Krasnoselskii不动点定理,文章给出了一类带有参数的多时滞微分方程x′(t)=a(t)g(x(t-δ(t)))x(t)-λf(t,x(t-τ1(t)),x(t-τ2(t)),…,x(t-τn(t)))ω-周期正解存在性的充分条件,推广了已有文献中的相应结果.
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| 关 键 词： | 时滞微分方程 周期正解 Krasnoselskii不动点定理 |
Positive Periodic Solutions for a Class of Functional Differential Equations with Several Delays |
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| Jing Sufeng.Positive Periodic Solutions for a Class of Functional Differential Equations with Several Delays[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(3):43-46. |
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| Authors: | Jing Sufeng |
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| Institution: | Jing Sufeng (Taiyuan Tourism Vocational College, Taiyuan 030032, China) |
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| Abstract: | The existence of positive periodic solutions of delay differential equation prob- lem has important theoretical and practical significance. Using Krasnoselskii fixed-point theorem, to give sufficient conditions to ensure the existence of positive periodic solutions to the following delay differential equation x＇（t） =a（t）g（x（t-δ（t）））x（t） -λf（t,x（t-- ε1（t））,x（t-- ε2（t））,…,x（t-- εn（t）））-ω |
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| Keywords: | delay differential equation positive periodic solutions Krasnoselskii fixed-point theorem |
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