Positive solutions to a singular second order three-point boundary value problem |
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| Authors: | Qu Wen-bo Zhang Zhong-xin Wu Jun-de |
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| Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P R China;2. Institute of Mathematics, Jilin University, Changchun 130012, P R China;3. Department of Applied Mathematics, Zhejiang University, Hangzhou 312000, P R China |
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| Abstract: | A fixed point theorem is used to study a singular second order three-point boundary value problem. The problem is more general. Combining the method of constructing Green functions with operators defined piecewise, the existence result of positive solutions to a singular second order three-point boundary value problem is established. The nonlinearity can be allowed to change sign. |
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| Keywords: | positive solution boundary value problem existence |
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