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Asymptotic Behavior for Nonoscillatory Solutions of Second Order Nonlinear Functional Differential Equation

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Abstract:

This paper studied the asymptotic behavior of a class of nonlinear functional differential equations by using the Bellman-Bihari inequality. We obtain results which extend and complement those in references. The results indicate that all non-oscillatory continuable solutions of equation are asymptotic to at+b as under some sufficient conditions, where a,b are real constants. An example is provided to illustrate the application of the results.

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Periodical:

Advanced Materials Research (Volumes 616-618)

Pages:

2137-2141

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.616-618.2137

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Cite this paper

Online since:

December 2012

Authors:

Zhi Min Luo, Bei Fei Chen

Keywords:

Asymptotic Behavior, Bellman-Bihari Inequality, Nonlinear Functional Differential Equations

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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