Existence of Positive Solutions for a Fourth‐Order Periodic Boundary Value Problem

Yongxiang Li

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: The existence results of positive solutions are obtained for the fourth‐order periodic boundary value problem u(4) − βu′′ + αu = f(t, u, u′′), 0 ≤ t ≤ 1, u(i)(0) = u(i)(1), i = 0, 1, 2, 3, where f : [0, 1] × ℝ+ × ℝ → ℝ+ is continuous, α, β ∈ ℝ, and satisfy 0 −2π2, (α/π4) + (β/π2) + 1 > 0. The discussion is based on the fixed point index theory in cones.

Date: 2011
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https://doi.org/10.1155/2011/826451

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:826451

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