Asymptotic Dichotomy in a Class of Fourth‐Order Nonlinear Delay Differential Equations with Damping

Chengmin Hou and Sui Sun Cheng

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

Abstract: All solutions of a fourth‐order nonlinear delay differential equation are shown to converge to zero or to oscillate. Novel Riccati type techniques involving third‐order linear differential equations are employed. Implications in the deflection of elastic horizontal beams are also indicated.

Date: 2009
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https://doi.org/10.1155/2009/484158

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:484158

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