Sathish Kumar Marappan - Paavai Engineering College (Autonomous) Paavai Institutions, Paavai Nagar, NH-۷, Pachal -۶۳۷ ۰۱۸. Namakkal Dist. Tamilnadu, India.
Ganesan V - Department of Mathematics, Aringar Anna Government Arts College, Namakkal-۶۳۷۰۰۲, Tamilnadu, India.
Janaki S - Deputy Directorate of statistics, Government of Tamil Nadu, Namakkal-۶۳۷۰۰۳, Tamil Nadu, India.
Osama Moaaz - Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, ۳۵۵۱۶, Egypt.

The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicability of these results.

Nonlinear, Oscillation, Distributed delay, Neutral differential equation