TITLE:
New Oscillation Criteria for Second Order Half-Linear Neutral Type Dynamic Equations on Time Scales
AUTHORS:
Faisal Al-Dheleai, Elmetwally Elabbasy
KEYWORDS:
Dynamic Equation, Oscillatory Solutions, Neutral, Deviating Arguments
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.9,
September
29,
2021
ABSTRACT: In this paper, we will study the oscillatory properties of the second order half-linear dynamic equations with distributed deviating arguments on time scales. We obtain several new sufficient conditions for the oscillation of all solutions of this equation. Our results not only unify the oscillation of second order nonlinear differential and difference equations but also can be applied to different types of time scales with sup T = ∞. Our results improve and extend some known results in the literature. Examples which dwell upon the importance of our results are also included.