Abstract
In this paper, by using the fixed points of strict-set contractions, we study the existence of at least one or two positive solutions to the second-order three-point boundary value problem y ″ ( t ) + a ( t ) f ( y ( t ) ) = θ , 0 < t < 1 , y ( 0 ) = θ , y ( 1 ) = β y ( η ) in Banach space E , where θ is the zero element of E , 0 < β < 1 , 0 < η < 1 and a ( t ) is allowed to change sign on [0,1]. As an application, we also give one example to demonstrate our results.
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