Positive Periodic Solutions of Third‐Order Ordinary Differential Equations with Delays

Yongxiang Li and Qiang Li

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The existence results of positive ω‐periodic solutions are obtained for the third‐order ordinary differential equation with delays u′′′(t) + a(t)u(t) = f(t, u(t − τ0), u′(t − τ1), u′′(t − τ2)), t ∈ ℝ, where a ∈ C(ℝ, (0, ∞)) is ω‐periodic function and f : ℝ × [0, ∞) × ℝ2 → [0, ∞) is a continuous function which is ω‐periodic in t, and τ0, τ1, τ2 are positive constants. The discussion is based on the fixed‐point index theory in cones.

Date: 2014
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https://doi.org/10.1155/2014/547683

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:547683

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