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MULTIPLE POSITIVE SOLUTIONS TO A SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Authors:Hongping Wu
Affiliation:Hongping Wu(College of Math. and Information Science,Northwest Normal University,Lanzhou 730070)
Abstract:In this paper,we study a singular third-order three-point boundary value problem. By a fixed point theorem of cone expansion-compression type due to Krasnosel'skii,we obtain various new results on the existence of two positive solutions to the problem,whose coefficient is allowed to have suitable singularities. Finally,we give an example to verify our results.
Keywords:third-order three-point BVP  positive solutions  singular  fixed point theorem  
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