| publication name | On the oscillation of third order neutral delay differential equations |
|---|---|
| Authors | M. M. A. El-sheikh, R. Sallam, N. Mohamady |
| year | 2013 |
| keywords | Third order, neutral differential equation, oscillation criteria, Riccati transformation |
| journal | AppliedMathematics&Information Sciences Letters |
| volume | 1 |
| issue | 3 |
| pages | 77 - 80 |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
The aim of this paper is to study the oscillatory behavior of general third order neutral delay differential equations by using a generalized Riccati transformation. New sufficient conditions for oscillations of solutions are established.The obtained results extend and improve some known results in the literature. Illustrative examples are given to support our main results. There has been considerable interest in studying the oscillation of solutions of neutral delay differential equations in the last two decades. Although the oscillation of third-order equations has received less attentions relatively comparing with those of second-order, however there is an increasing interest in studying the oscillation of neutral delay third-order equations ( see [2], [4], [8], [10]).