Author:
Sathish Kumar M.,Ganesan V.
Abstract
Abstract
This paper concerns the oscillatory behavior of the solutions of the third-order neutral differential equation with continuously distributed delay. We prove many new sufficient conditions which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of our theorems are also included.
Subject
General Physics and Astronomy
Reference17 articles.
1. Oscillatory properties of third order neutral delay differential equations;Graef,2003
2. Oscillation of third-order neutral differential equations;Baculíková;Math. Comput. Model.,2010
3. Nonlinear oscillation of certain third-order neutral differential equation with distributed delay;Ganesan;J. Mahani Math. Res. Cent.,2018
4. Asymptotic behavior of solutions of third-order neutral differential equations with discrete and distributed delay;Sathish Kumar;AIMS Mathematics,2020
5. On the oscillation of a third order nonlinear differential equations with neutral type;Ganesan;Ural Mathematical Journal,2017