测度链上一类三阶半线性中立型时滞动力方程的振动准则  

OSCILLATION CRITERION OF THIRD ORDER SEMI-LINEAR NEUTRAL DELAY DYNAMIC EQUATIONS ON TIME SCALES

作　　者：王俊俊[1] 郭丽娟[1] 

机构地区：[1]河南省平顶山学院数学与信息科学学院,平顶山467000

出　　处：《系统科学与数学》2013年第7期848-853,共6页Journal of Systems Science and Mathematical Sciences

基　　金：河南省科技发展计划项目(112300410233);平顶山学院高层次人才项目(2008002)资助课题

摘　　要：利用广义Riccati代换及时标上一些分析技巧给出时标上一类三阶半线性动力方程的振动准则,并利用例子说明其结果的可用性,推广了一些已知的二阶或三阶动力方程振动性的结果.It is the purpose of this paper to give oscillation criteria for the third order senti-linear neutral delay dynamic equations on a time scale T by using the Riccati substitution and some analysis technique on time scales. And at last, some examples are given. The results are new and extend some existing results for oscillation of third order equations or second order nonlinear neutral delay dynamic equations.

关 键 词：振动性 中立型 时滞 动力方程 时标 

分 类 号：O175[理学—数学]