Existence of Positive Solution for Semipositone Second-order Three-point Boundary-value Problem
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چکیده
In this paper, we establish the existence of positive solution for the semipositone second-order three-point boundary value problem u′′(t) + λf(t, u(t)) = 0, 0 < t < 1, u(0) = αu(η), u(1) = βu(η). Our arguments are based on the well-known Guo-Krasnosel’skii fixed-point theorem in cones.
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تاریخ انتشار 2008