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| EXISTENCE OF POSITIVE SOLUTIONS TO A SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM |
| Hongping Wu,Shaolin Zhou |
| (College of Math. and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, PR China) |
| DOI： |
| 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. |
| Key words: third-order three-point boundary value problem; positive solutions; singular nonlinearity; fixed-point theorem |