Volume 8, Number 6, 2018, Pages 1796-1810 DOI:10.11948/2018.1796 |
Oscillation and asymptotic behavior of third-order nonlinear neutral delay differential equations with distributed deviating arguments |
Yibing Sun,Yige Zhao |
Keywords:Oscillation, asymptotic property, third-order neutral delay differential equations, Riccati transformation. |
Abstract: |
This paper concerns the oscillation and asymptotic behavior of a class of third-order nonlinear neutral delay differential equations with distributed deviating arguments. By employing a generalized Riccati transformation and integral averaging technique, we establish some sufficient conditions to ensure that all solutions of the considered equations are either oscillatory or converge to zero, which extend and improve some known results in the literature. |
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