Abstract
By using the generalized Riccati transformation and the integral averaging technique, the paper establishes some new oscillation criteria for the second-order nonlinear delay dynamic equations on time scales. The results in this paper unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales. The Theorems in this paper are new even in the continuous and the discrete cases.
Highlights
According to the important academic value and application background in Quantum Physics, engineering mechanics and control theory, the oscillation theory of dynamic equations on time scales has become one of the research hotspots
The paper will deal with the oscillatory behavior of all solutions of second-order nonlinear delay dynamic equation
(H2) γ ≥ 1 is the ratio of two positive odd integers
Summary
According to the important academic value and application background in Quantum Physics (especially in Nuclear Physics), engineering mechanics and control theory, the oscillation theory of dynamic equations on time scales has become one of the research hotspots. The paper will deal with the oscillatory behavior of all solutions of second-order nonlinear delay dynamic equation (2014) New Oscillation Criteria of Second-Order Nonlinear Delay Dynamic Equations on Time Scales.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
