Existence of positive solutions for some singular semi-positoneproblems with linear functional boundary conditions

Zhao Zengqin; Wang Lijun

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Existence of positive solutions for some singular semi-positoneproblems with linear functional boundary conditions

Zhao Zengqin 1 *,Wang Lijun 2

1.School of Mathematical Sciences, Qufu Normal University, QuFu 273165

2.School of Computer Sciences, Qufu Normal University, RiZhao 276816

*Correspondence author

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Funding: Research supported by the National Natural Science Foundation of China （No.10871116）, the Doctoral Program Foundation of Education Ministry of China （No.200804460001）

Opened online:14 February 2012

Accepted by: none

Citation: Zhao Zengqin,Wang Lijun.Existence of positive solutions for some singular semi-positoneproblems with linear functional boundary conditions[OL]. [14 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4463361

By using the fixed point index method, we investigatesome nonlinear second- order singular semi-positone differential equationswith linear functional boundary conditions. We prove the existence of apositive solutions, and give a particular example.

Keywords:Applied mathematics; nonlinear semi-positone differential equation; fixed point index; linear functional boundary condition; positive solution

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