| 奇异二阶微分系统正周期解的存在性 |
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| 引用本文： | 何志乾,赵兴文.奇异二阶微分系统正周期解的存在性[J].应用泛函分析学报,2014,16(3):220-226. |
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| 作者姓名： | 何志乾 赵兴文 |
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| 作者单位： | 1. 白银矿冶职业技术学院基础教研室,白银730700;西北师范大学数学与统计学院,兰州730070
2. 西北师范大学物理与电子工程学院,兰州,730070 |
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| 基金项目： | 国家自然科学基金，甘肃省自然科学基金，春辉计划 |
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| 摘 要： | 通过研究一类带周期边界条件的二阶线性算子的性质，运用Schauder不动点定理在较弱的条件下获得奇异二阶系统（1．1）正周期解的存在性，所得结论推广和改进了已有工作的相关结果．
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| 关 键 词： | 正周期解 系统 存在性 奇异性 二阶微分系统 |
Existence of Positive Periodic Solutions of Second-Order Differential Systems |
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| HE Zhiqian,ZHAO Xingwen.Existence of Positive Periodic Solutions of Second-Order Differential Systems[J].Acta Analysis Functionalis Applicata,2014,16(3):220-226. |
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| Authors: | HE Zhiqian ZHAO Xingwen |
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| Institution: | HE Zhiqian, ZHAO Xingwen (1. The Foundation Department, Baiyin Institute of Mining and Metallurgy, Baiyin 730700, China; 2. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China; 3. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China) |
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| Abstract: | This article studies some qualitative properties of the second order linear operator with periodic conditions, by using the Schauder＇s fixed-point theorem, we obtained the existence of positive periodic solutions of the singular second-order differential system （1.1）. The conclusions in this paper perfect the existed results. |
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| Keywords: | positive periodic solutions systems existence singular second-order differential sys-tems |
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