Positive Periodic Solutions of Second‐Order Differential Equations with Delays

Yongxiang Li

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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

Date: 2012
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https://doi.org/10.1155/2012/829783

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:829783

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