Positive Solutions for Semipositone Fourth-order Two-point Boundary Value Problems
نویسندگان
چکیده
In this paper we investigate the existence of positive solutions of the following nonlinear semipositone fourth-order two-point boundary-value problem with second derivative: u(t) = f(t, u(t), u′′(t)), 0 ≤ t ≤ 1, u′(1) = u′′(1) = u′′′(1) = 0, ku(0) = u′′′(0), where −6 < k < 0, f ≥ −M , and M is a positive constant. Our approach relies on the Krasnosel’skii fixed point theorem.
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تاریخ انتشار 2007