EXISTENCE OF POSITIVE SOLUTIONS TO A SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM |
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| Authors: | Hongping Wu and Shaolin Zhou |
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| Affiliation: | College of Math. and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, PR China and College of Math. and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, PR China |
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| Abstract: | In this paper, we study a singular third-order three-point boundary value problem. By using a fixed-point theorem of cone expansion-compression type, we establish results on the existence of at least one, at least two, and $n$ positive solutions to the boundary value problem. Finally we give an example. |
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| Keywords: | third-order three-point boundary value problem positive solutions singular nonlinearity fixed-point theorem |
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