| 非线性二阶常微分方程的正周期解 |
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| 引用本文： | 彭世国. 非线性二阶常微分方程的正周期解[J]. 应用数学, 2004, 17(2): 234-238 |
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| 作者姓名： | 彭世国 |
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| 作者单位： | 广东工业大学应用数学系,广东,广州,510090 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofGuangdongProvince (0 2 0 14 6 ) |
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| 摘 要： | 讨论一类非线性二阶常微分方程的周期解问题 ,利用Banach空间锥上的不动点定理得到了正周期解的存在性和多重性结果 ,大大改进了文献 [1 ]的结果
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| 关 键 词： | 非线性二阶常微分方程 正周期解 存在性 多重性 Banach空间锥 不动点定理 |
Positive Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations |
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| PENGShi-guo. Positive Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations[J]. Mathematica Applicata, 2004, 17(2): 234-238 |
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| Authors: | PENGShi-guo |
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| Affiliation: | DepartmentofAppliedMathematics,GuangdongUniversityofTechnology,Guangzhou510090,China |
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| Abstract: | This paper discusses the problem of positive periodic solutions for a class of nonlinearsecond order ordinary differential equations. By utilizing a fixed point theorem on cone, some exist-ence and multiplicity results of positive periodic solutions are derived. Our results improve theoremsin the literature. |
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| Keywords: | Positive periodic solutions Fixed point theorem Cone |
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