Some New Oscillatory Behavior of Certain Third-Order Nonlinear Neutral Differential Equations of Mixed Type
- 66 Downloads
By applying Riccati substitution techniques triply, we establish some new oscillation and asymptotic nature of solutions to the third-order nonlinear differential equations with mixed neutral type. We present many theorems and related examples in order to illustrate and substantiate the main theory.
KeywordsThird-order Neutral differential equation Oscillation of solutions Mixed arguments
Mathematics Subject Classification34K11 34C10 34C15
The authors are very grateful to the anonymous referees for their valuable suggestions and comments, which helped to improve the quality of the paper.
- 17.Ganesan, V., Sathish Kumar, M.: Oscillation of certain third order nonlinear differential equation with neutral terms. Bangmod Int. J. Math. Comput. Sci. 3(1–2), 53–60 (2017)Google Scholar
- 19.Ganesan, V., Sathish Kumar, M.: Oscillation theorems for third-order retarded differential equations with a sublinear neutral term. Int. J. Pure Appl. Math. 114(5), 63–70 (2017)Google Scholar