| 一类捕食者- 食饵三次Kolmogorov脉冲系统正周期解的存在性 |
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| 引用本文： | 王晓阳,朱天晓,高海音,盖永杰.一类捕食者- 食饵三次Kolmogorov脉冲系统正周期解的存在性[J].吉林大学学报(理学版),2008,46(2):229-233. |
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| 作者姓名： | 王晓阳 朱天晓 高海音 盖永杰 |
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| 作者单位： | 长春大学 数学系, 长春 130022 |
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| 摘 要： | 研究一类三次Kolmogorov脉冲系统正周期解的存在性, 通过在适当的Banach空间中引入算子, 将微分系统化为等价的算子方程; 利用重合度的同伦不变性证明了所引入的算子满足重合度理论中连续性定理的条件, 并建立了存在正周期解的充分条件, 推广并改进了一些相关结果.
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| 关 键 词： | 正周期解 脉冲微分方程 重合度 |
| 文章编号： | 1671-5489(2008)02-0229-05 |
| 收稿时间： | 2007-07-06 |
| 修稿时间： | 2007年7月6日 |
Existence of Positive Periodic Solution for a Class of Predator-prey Cubic Kolmogorov Impulsive System |
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| WANG Xiao-yang,ZHU Tian-xiao,GAO Hai-yin,GAI Yong-jie.Existence of Positive Periodic Solution for a Class of Predator-prey Cubic Kolmogorov Impulsive System[J].Journal of Jilin University: Sci Ed,2008,46(2):229-233. |
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| Authors: | WANG Xiao-yang ZHU Tian-xiao GAO Hai-yin GAI Yong-jie |
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| Institution: | Department of Mathematics, Changchun University, Changchun 130022, China |
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| Abstract: | We studied the existence of positive periodic solution for a kind of predator prey cubic Kolmogorov impulsive system. The system is transformed into equivalent operator equations by introducing operator in the suitable Banach space. By means of property of homotopy invariance of coincidence degree, it is proved that the operator satisfies the conditions of continuation theorem in coincidence degree. The sufficient conditions of the existence of positive periodic solution for the system are obtained. The paper generalizes and improves the result in the literature. |
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| Keywords: | positive solution impulsive differential equation coincidence degree |
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