| 一类二阶奇异周期边值问题正解的存在性 |
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| 引用本文： | 孙博,葛渭高.一类二阶奇异周期边值问题正解的存在性[J].数学的实践与认识,2010,40(1). |
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| 作者姓名： | 孙博 葛渭高 |
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| 作者单位： | 1. 中央财经大学,应用数学学院,北京,100081;北京理工大学,数学系,北京,100081
2. 北京理工大学,数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(10671012); 国家教育部基金(20050007011) |
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| 摘 要： | 利用锥上的不动点定理得到了一类二阶奇异周期边值问题在一定条件下正题的存在性,其中非线性项显含一阶导数且允许在u=0处有奇性,从而推广和丰富了已有文献的结果.
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| 关 键 词： | 奇异 正解 锥 周期边值问题 |
Existence of Positive Solutions to A Class of Second-Order Singular Periodic Boundary Value Problem |
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| SUN Bo,GE Wei-gao.Existence of Positive Solutions to A Class of Second-Order Singular Periodic Boundary Value Problem[J].Mathematics in Practice and Theory,2010,40(1). |
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| Authors: | SUN Bo GE Wei-gao |
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| Institution: | SUN Bo1,2,GE Wei-gao2(1.School of Applied Mathematics,Central University of Finance , Economics,Beijing 100081,China)(2.Department of Mathematics,Beijing Institute of Technology,China) |
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| Abstract: | This papar deals with the existence of positive solutions to a class of second-order singular periodic boundary value problem.Sufficient conditions are established by applying Krasnoselskii fixed point theorem in cones. |
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| Keywords: | singular positive solution cone periodic boundary value problem |
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