| 一类脉冲时滞微分方程的周期正解的存在性 |
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| 引用本文： | 景冰清. 一类脉冲时滞微分方程的周期正解的存在性[J]. 太原师范学院学报(自然科学版), 2011, 10(2): 63-65 |
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| 作者姓名： | 景冰清 |
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| 作者单位： | 山西大学商务学院理学系,山西太原,030031 |
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| 摘 要： | 利用Brouwer不动点定理,得到一阶脉冲时滞微分方程y(t)=y(t)[p(t)-(Q(t)yn(t-aω))/(R+ym(t-aω))-λ(t)y(t)],t≠tk,y(tk+)=(1+bk)y(tk),k∈N,存在ω-周期正解y*(t)的充分条件,推广了已有文献中的相关结果.
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| 关 键 词： | 脉冲时滞微分方程 周期正解 Brouwer不动点定理 初值问题 |
Existence of Positive Periodic Solution for A Class of Impulsvie Delay Equations |
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| Jing Bingqing. Existence of Positive Periodic Solution for A Class of Impulsvie Delay Equations[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2011, 10(2): 63-65 |
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| Authors: | Jing Bingqing |
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| Affiliation: | Jing Bingqing(Department of Mathematics,Business College of Shanxi University,Taiyuan 030031,China) |
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| Abstract: | Using a fixed point theorem of Brouwer,we show the existence of periodic positive solution of first order impulsive delay differential equation：y（t）=y（t）[p（t）-（Q（t）yn（t-aω））/（R＋ym（t-aω））-λ（t）y（t）],t≠tk,y（tk＋）=（1＋bk）y（tk）,k∈N, the result extends the corres |
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| Keywords: | impulsvie delay differential equation positive periodic solution Brouwer fixed-point initial-value problem |
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