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, 1-7

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:484158

DOI: 10.1155/2009/484158

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