Oscillation Criteria for Thirdorder Nonlinear Neutral Differential Equations with Distributed Deviating Arguments
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.
Keywords
 Oscillation
 asymptotic behavior
 thirdorder neutral differential equation
 distributed deviating argument.
MSC
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