| 一类微分方程组正周期解的存在性 |
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| 引用本文： | 张炎彪,王丽华.一类微分方程组正周期解的存在性[J].运城学院学报,2011,29(2):17-20. |
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| 作者姓名： | 张炎彪 王丽华 |
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| 作者单位： | 1. 忻州师范学院数学系
2. 忻州师范学院附属中学,山西忻州,034000 |
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| 摘 要： | 根据锥上不动点指数理论,研究了微分方程组正周期解的存在性。应用线性问题的第一特征值和拓扑度理论建立了其正解的存在性定理。
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| 关 键 词： | 不动点理论 拓扑度乘积 正解 |
The Existence of Positive Periodic Solution for Nonlinear Ordinary Differential Systems |
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| ZHANG Yan-biao,WANG Li-hua.The Existence of Positive Periodic Solution for Nonlinear Ordinary Differential Systems[J].JOURNAL OF YUNCHENG UNIVERSITY,2011,29(2):17-20. |
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| Authors: | ZHANG Yan-biao WANG Li-hua |
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| Institution: | ②(Department of Mathematics,Xin Zhou Teachers University,Xin Zhou 034000,China) |
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| Abstract: | By using the fixed-point index theory,we study the problem of nonlinear ordinary differential systems with periodic boundary value.The existence theoem on positive solution is established by using the first eigenvalue of the correspondind linear problems and theorem for product of topology degree. |
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| Keywords: | Cone Product of topology degree Positive solution |
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