Oscillation Criteria for Third-order Nonlinear Neutral Differential Equations with Distributed Deviating Arguments

Volume 9, Issue 12, pp 6170--6182 http://dx.doi.org/10.22436/jnsa.009.12.22

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Authors

Cuimei Jiang - Qingdao Technological University, Feixian, Shandong 273400, P. R. China. Tongxing Li - LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong 276005, P. R. China. - School of Informatics, Linyi University, Linyi, Shandong 276005, P. R. China.

Abstract

The aim of this paper is to investigate the oscillation and asymptotic behavior of a class of third- order nonlinear neutral differential equations with distributed deviating arguments. By means of Riccati transformation technique and some inequalities, we establish several sufficient conditions which ensure that every solution of the studied equation is either oscillatory or converges to zero. Two examples are provided to illustrate the main results.

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Keywords

• Oscillation
• asymptotic behavior
• third-order neutral differential equation
• distributed deviating argument.

MSC

•  34K11

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