| 一类泛函脉冲微分方程周期正解的存在性 |
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| 引用本文： | 向 伟,郭彦平,李云红. 一类泛函脉冲微分方程周期正解的存在性[J]. 河北工业科技, 2007, 24(1): 5-10,18 |
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| 作者姓名： | 向 伟 郭彦平 李云红 |
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| 作者单位： | 河北科技大学理学院,河北石家庄 050018;河北科技大学理学院,河北石家庄 050018;河北科技大学理学院,河北石家庄 050018 |
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| 基金项目： | 河北省自然科学基金资助项目(A2006000298) |
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| 摘 要： | 利用Krasnoselskii不动点定理,讨论一类带参数的泛函脉冲微分方程多个周期正解存在的充分条件,在f(x)和Ik(x) 均为非超线性和非次线性的条件下,得到该类微分方程多个周期正解存在的一些新结果。
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| 关 键 词： | Krasnoselskii不动点定理 锥 周期正解 |
| 收稿时间： | 2006-05-08 |
| 修稿时间： | 2006-11-23 |
Study on existence of multiple positive periodic solutions for a class of functional differential equations with impulses |
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| XIANG Wei,GUO Yan-ping and LI Yun-hong. Study on existence of multiple positive periodic solutions for a class of functional differential equations with impulses[J]. Hebei Journal of Industrial Science & Technology, 2007, 24(1): 5-10,18 |
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| Authors: | XIANG Wei GUO Yan-ping LI Yun-hong |
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| Affiliation: | College of Sciences, Hebei University of Science and Technology, Shijiazhuang Hebei 050018,China;College of Sciences, Hebei University of Science and Technology, Shijiazhuang Hebei 050018,China;College of Sciences, Hebei University of Science and Technology, Shijiazhuang Hebei 050018,China |
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| Abstract: | By using Krasnoselskii fixed point theorem, we studied the existence of multiple positive periodic solutions for a class of functional differential equations with impulses. With f(x) and Ik(x) under conditions of non-superlinear and non-sublinear conditions, we obtain some new results. |
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| Keywords: | Krasnoselskii fixed point theorem cone positive periodic solution |
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