烟台大学学报（自然科学与工程版）2013，Vol.26Issue(1)：14-20,7.
时间测度链上二阶非线性动力方程的振动准则
Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales
摘要
Abstract
The oscillation for certain second-order nonlinear variable delay dynamic equations with nonlinear neutral term on time scales is discussed. By using the time scales theory, the generalized Riccati transformation and the inequality technique, we establish some new oscillation criterions for the equations. Our results out only extend and improve some known results, but also unify the oscillation of second-order nonlinear delay differential equations with nonlinear neutral term and second-order nonlinear delay difference equations with nonlinear neutral term.关键词
振动准则/时间测度链/动力方程/非线性中立项/变时滞Key words
oscillation criterion/ time scales/ dynamic equations/ nonlinear neutral term/ variable delay分类
数理科学引用本文复制引用
杨甲山,杨麒乐..时间测度链上二阶非线性动力方程的振动准则[J].烟台大学学报（自然科学与工程版）,2013,26(1):14-20,7.基金项目
国家自然科学基金资助项目(11071222) （11071222）
湖南省教育厅科研基金重点项目(09A082). （09A082）
