New Oscillatory Theorems for Third-Order Nonlinear Delay Dynamic Equations on Time Scales  

作　　者：Li Gao Shouhua Liu Xiaotong Zheng 

机构地区：[1]College of Science, Binzhou University, Shandong, China [2]School of Statistics, Renmin University of China, Beijing, China

出　　处：《Journal of Applied Mathematics and Physics》2018年第1期232-246,共15页应用数学与应用物理（英文）

摘　　要：This paper is concerned with the oscillatory properties of the third-order nonlinear delay dynamic equations of the form??on 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.This paper is concerned with the oscillatory properties of the third-order nonlinear delay dynamic equations of the form??on 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.

关 键 词：OSCILLATORY THIRD Order Delay Dynamic Equation Generalized RICCATI Transformation Time Scale 

分 类 号：O1[理学—数学]