Oscillation of Third-order Delay Dynamic Equations on Time Scales  

作　　者：YANG Jia-shan 

机构地区：[1]Department of Mathematics and Physics, Wuzhou University, Wuzhou 5430027 China

出　　处：《Chinese Quarterly Journal of Mathematics》2014年第3期447-456,共10页数学季刊（英文版）

基　　金：Supported by the NNSF of China(11071222);Supported by the NSF of Hunan Province(12JJ6006);Supported by Scientific Research Fund of Education Department of Guangxi Zhuang Autonomous Region(2013YB223)

摘　　要：This paper is concerned with the oscillatory behavior of a class of third-order noonlinear variable delay neutral functional dynamic equations on time scale. By using the generalized Riccati transformation and inequality technique, we establish some new oscilla- tion criteria for the equations. Our results extend and improve some known results, but also unify the oscillation of third-order nonlinear variable delay functional differential equations and functional difference equations with a nonlinear neutral term. Some examples are given to illustrate the importance of our results.

关 键 词：OSCILLATION time scales delay dynamic equations l^iccati transformation non-linear neutral term 

分 类 号：O175.7[理学—数学]