Abstract
In this paper, we study the existence of positive solutions for a singular semi-positone three-point nonlinear boundary value problem system with parameter λ > 0 . Under certain super-linear conditions on the nonlinearities, by using the fixed point index method, we find λ ∗ > 0 such that the three-point boundary value problem system has at least one positive solution for 0 < λ < λ ∗ .
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