| 含导数项的奇异二阶周期边值问题的正解 |
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| 引用本文： | 赵东霞,王宏洲.含导数项的奇异二阶周期边值问题的正解[J].中北大学学报,2008,29(4). |
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| 作者姓名： | 赵东霞 王宏洲 |
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| 作者单位： | [1]中北大学理学院,山西太原030051 [2]北京理工大学理学院,北京100081 |
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| 摘 要： | 在二阶非线性微分方程周期边值问题的基础上,利用锥映射不动点定理,讨论了带有导数项的二阶非线性周期边值问题的正解的存在性,并且允许非线性项具有奇异性这一限制条件,最后给出了解的存在性定理,还把这一结果应用于一个具体的二阶边值问题中,同时对前人的结果进行了改进和推广.
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| 关 键 词： | 周期边值问题 正解 奇异性 |
Positive Solutions to a Second-Order Singular Periodic Boundary Value Problem with Derivative Argument |
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| ZHAO Dong-xia,WANG Hong-zhou.Positive Solutions to a Second-Order Singular Periodic Boundary Value Problem with Derivative Argument[J].Journal of North University of China,2008,29(4). |
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| Authors: | ZHAO Dong-xia WANG Hong-zhou |
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| Affiliation: | ZHAO Dong-xia1,WANG Hong-zhou2(1.School of Science,North University of China,Taiyuan 030051,China,2.School of Science,Beijing Institute of Technology,Beijing 100081,China) |
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| Abstract: | On the basis of nonlinear second-order periodic boundary value problem,the paper mainly discusses the existence of positive solutions to a class of nonlinear second-order singular periodic boundary value problem with derivative argument by using Krasnoselskii fixed point theorem of cone map.The sufficient conditions for positive periodic solutions are obtained.The results are applied to a detailed example,and the traditional results are improved. |
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| Keywords: | periodic boundary value problem positive solutions singularity |
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