TITLE:
New Oscillatory Theorems for Third-Order Nonlinear Delay Dynamic Equations on Time Scales
AUTHORS:
Li Gao, Shouhua Liu, Xiaotong Zheng
KEYWORDS:
Oscillatory, Third Order, Delay Dynamic Equation, Generalized Riccati Transformation, Time Scale
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.1,
January
29,
2018
ABSTRACT: This paper is concerned with the oscillatory properties of the third-order
nonlinear delay dynamic equations of the formon time scales , where is a quotient of odd
positive integers. Applying the inequality technique we present two new
sufficient conditions which ensure that every solution of equations is
oscillatory or converges to zero. The results obtained improve and complement
some known results in the literature.