## Abstract and Applied Analysis

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

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2009 (2009), Article ID 484158, 7 pages.

Dates
First available in Project Euclid: 16 March 2010

https://projecteuclid.org/euclid.aaa/1268745563

Digital Object Identifier
doi:10.1155/2009/484158

Mathematical Reviews number (MathSciNet)
MR2516005

Zentralblatt MATH identifier
1173.34350

#### Citation

Hou, Chengmin; Cheng, Sui Sun. Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping. Abstr. Appl. Anal. 2009 (2009), Article ID 484158, 7 pages. doi:10.1155/2009/484158. https://projecteuclid.org/euclid.aaa/1268745563

#### References

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