MULTIPLE POSITIVE SOLUTIONS FOR FOURTH-ORDER THREE-POINT p-LAPLACIAN BOUNDARY-VALUE PROBLEMS
نویسندگان
چکیده
In this paper, we study the three-point boundary-value problem for a fourth-order one-dimensional p-Laplacian differential equation ` φp(u ′′(t)) ́′′ + a(t)f ` u(t) ́ = 0, t ∈ (0, 1), subject to the nonlinear boundary conditions: u(0) = ξu(1), u′(1) = ηu′(0), (φp(u ′′(0))′ = α1(φp(u ′′(δ))′, u′′(1) = p−1 p β1u ′′(δ), where φp(s) = |s|p−2s, p > 1. Using the five functional fixed point theorem due to Avery, we obtain sufficient conditions for the existence of at least three positive solutions.
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