时间测度链上一类二阶动力方程的振动结果  

Oscillation results for certain second-order dynamic equations on time scales

作　　者：莫协强[1] 杨甲山[1] 

机构地区：[1]梧州学院信息与电子工程学院,广西梧州543002

出　　处：《中国科技论文》2015年第5期564-569,共6页China Sciencepaper

基　　金：广西自治区教育厅科研基金资助项目(2013YB223);湖南省科技厅科研基金资助项目(2012FJ3107)

摘　　要：为了进一步发展和完善时间测度链上动力方程的振动理论,研究了时间测度链上一类非线性的二阶中立型时滞动力方程的振动性,利用时间测度链上的理论和分析技巧,借助Riccati变换技术,得到了该方程振动的几个新的充分条件,推广和改进了现有文献中的有关结果,并给出例子说明本文结论的重要性。所得结果充分反映了中立项和时滞在方程振动中的影响作用。To develop and improve oscillation theory of dynamic equations on time scales,the oscillation for a class of second-order nonlinear neutral delay dynamic equations on time scales was discussed in this paper.By using time scales theory,necessary analytic techniques,and generalized Riccati transformation,new sufficient conditions for oscillation of the equations were obtained.Existing results in literature were improved and extended.Examples were given to illustrate the importance of our results.The obtained results fully reflect the influences of neutral term and delay on oscillations of equations.

关 键 词：振动性 时间测度链 中立型时滞动力方程 非线性中立项 

分 类 号：O175[理学—数学]