Oscillation of Second-order Nonlinear Dynamic Equation on Time Scales  

作　　者：YANG Jia-shan 

机构地区：[1]Department of Science and Information, Shaoyang University, Shaoyang 422004, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第2期172-179,共8页数学季刊（英文版）

基　　金：Supported by the Scientific Research Fund of Hunan Provincial Education Department(09A082)

摘　　要：： The oscillation for a class of second order nonlinear variable delay dynamic equation on time scales with nonlinear neutral term and damping term was discussed in this article. By using the generalized Riccati technique, integral averaging technique and the time scales theory, some new sufficient conditions for oscillation of the equation are proposed. These results generalize and extend many knownresults for second order dynamic equations. Some examples are given to illustrate the main results of this article.

关 键 词：time scales dynamic equations nonlinear neutral term damping term variable delay Riccati transformation OSCILLATION 

分 类 号：O175.7[理学—数学]