Nonlinear oscillation of certain third-order neutral differential equation with distributed delay

Authors

  • Ganesan V Department of Mathematics, Aringar Anna Government Arts College, Namakkal-637002, Tamilnadu, India.
  • Janaki S Deputy Directorate of statistics, Government of Tamil Nadu, Namakkal-637003, Tamil Nadu, India.
  • Osama Moaaz Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt.
  • Sathish Kumar Marappan Paavai Engineering College (Autonomous) Paavai Institutions, Paavai Nagar, NH-7, Pachal -637 018. Namakkal Dist. Tamilnadu, India.
Abstract:

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.

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Journal title

volume 7  issue 1

pages  1- 12

publication date 2018-03-01

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