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2009 Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping
Chengmin Hou, Sui Sun Cheng
Abstr. Appl. Anal. 2009: 1-7 (2009). DOI: 10.1155/2009/484158

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.

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Chengmin Hou. Sui Sun Cheng. "Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping." Abstr. Appl. Anal. 2009 1 - 7, 2009. https://doi.org/10.1155/2009/484158

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1173.34350
MathSciNet: MR2516005
Digital Object Identifier: 10.1155/2009/484158

Rights: Copyright © 2009 Hindawi

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