Positive solutions of singular third-order three-point boundary value problems |
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| Authors: | Qingliu Yao |
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| Institution: | Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, Jiangsu, China |
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| Abstract: | The positive solutions of a class of singular third-order three-point boundary value problems are considered by using the Guo-Krasnosel'skii fixed point theorem of cone expansion-compression type. In this class of problems, the nonlinear term is allowed to be singular. Main results show that this class of problems can have n positive solutions provided that the conditions on the nonlinear term on some bounded sets are appropriate. |
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| Keywords: | Ordinary differential equation Multi-point boundary value problem Singular nonlinearity Positive solution |
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