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We study the existence and multiplicity of positive solutions of the following boundary-value problem: - u(6) - γu(4) + Βu′ - u = f (t, u), 0 < t < 1, u (0) = u (1) = u′(0) = u′ (1) = u (4) (0) = u(4) (1) = 0, where f: [ 0, 1 ] R + → R+ is continuous, α, Β, and γ ∞ R satisfy some suitable assumptions. © 2010 Liyuan Zhang and Yukun An.

Existence and Multiplicity of Positive Solutions of a Boundary-Value Problem for Sixth-Order ODE with Three Parameters