Oscillation Theorems for Second-order Nonlinear Neutral Dynamic Equations with Variable Delays and Damping
In this paper, we study the oscillation of a class of second-order nonlinear neutral damped variable delay dynamic equations on time scales. By using a generalized Riccati transformation technique, we obtain some sufficient conditions for the oscillation of the equations. The results of this paper improve and extend some known results. We also illustrate our main results with some examples.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:51543", author = "Da-Xue Chen and Guang-Hui Liu", title = "Oscillation Theorems for Second-order Nonlinear Neutral Dynamic Equations with Variable Delays and Damping", abstract = "In this paper, we study the oscillation of a class of second-order nonlinear neutral damped variable delay dynamic equations on time scales. By using a generalized Riccati transformation technique, we obtain some sufficient conditions for the oscillation of the equations. The results of this paper improve and extend some known results. We also illustrate our main results with some examples.
", keywords = "Oscillation theorem, second-order nonlinear neutral dynamic equation, variable delay, damping, Riccati transformation.", volume = "5", number = "2", pages = "76-9", }