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Nonlinear oscillation of certain third-order neutral differential equation with distributed delay | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 1، دوره 7، شماره 1، خرداد 2018، صفحه 1-12 اصل مقاله (298.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2018.11248.1052 | ||
| نویسندگان | ||
| Sathish Kumar Marappan1؛ Ganesan V* 2؛ Janaki S3؛ Osama Moaaz4 | ||
| 1Paavai Engineering College (Autonomous) Paavai Institutions, Paavai Nagar, NH-7, Pachal -637 018. Namakkal Dist. Tamilnadu, India. | ||
| 2Department of Mathematics, Aringar Anna Government Arts College, Namakkal-637002, Tamilnadu, India. | ||
| 3Deputy Directorate of statistics, Government of Tamil Nadu, Namakkal-637003, Tamil Nadu, India. | ||
| 4Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Nonlinear؛ Oscillation؛ Distributed delay؛ Neutral differential equation | ||
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