| 非线性二阶周期边值问题的正解(英文) |
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| 引用本文： | 安天庆,王炳艳.非线性二阶周期边值问题的正解(英文)[J].安徽大学学报(自然科学版),2012(3):8-12. |
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| 作者姓名： | 安天庆 王炳艳 |
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| 作者单位： | 河海大学理学院 |
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| 基金项目： | Supported by National Natural Science Foundation of China(10871059) |
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| 摘 要： | 周期边值问题是非线性分析中的一个重要课题,它在许多实际问题中有着广泛的应用.论文应用锥拉伸和锥压缩不动点定理研究非线性二阶周期边值问题正解的多重性.以一类线性问题的格林函数为工具,证明了周期边值问题至少有两个正周期解的结论.
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| 关 键 词： | 周期解 不动点 锥 非线性微分方程 |
Positive periodic solutions to nonlinear second order periodic boundary value problems |
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| AN Tian-qing,WANG Bing-yan.Positive periodic solutions to nonlinear second order periodic boundary value problems[J].Journal of Anhui University(Natural Sciences),2012(3):8-12. |
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| Authors: | AN Tian-qing WANG Bing-yan |
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| Institution: | (College of Science,Hohai University,Nanjing 210098,China) |
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| Abstract: | Periodic boundary value problem was an important subject in the nonlinear analysis and had extensive applications in some practical problems.In this paper,we investigated the multiplicity of positive solutions to some nonlinear second order periodic boundary value problem by using the fixed point theorem of cone expansion and compression.By the aid of the Green function of a class of linear problem,we obtained some existence results of at least two positive periodic solutions to periodic boundary value problem. |
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| Keywords: | periodic solutions fixed point cone nonlinear differential equation |
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