Article ID Journal Published Year Pages File Type
844543 Nonlinear Analysis: Theory, Methods & Applications 2007 15 Pages PDF
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>0λ>0. Under certain super-linear conditions on the nonlinearities, by using the fixed point index method, we find λ∗>0λ∗>0 such that the three-point boundary value problem system has at least one positive solution for 0<λ<λ∗0<λ<λ∗.

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