应用数学2017,Vol.30Issue(1):16-26,11.
时间测度链上一类二阶非线性时滞阻尼动力方程的振动性分析
Oscillation Analysis of Certain Second-order Nonlinear Delay Damped Dynamic Equations on Time Scales
摘要
Abstract
This paper is concerned with oscillations of a certain class of second-order nonlinear variable delay dynamic equations with damping.By using the generalized Riccati transformation and mathematical analytic methods,we establish some new sufficient conditions for oscillation of the equations.Our results extend and improve some known results.Examples are given to illustrate the importance of our results.关键词
振动性/时间测度链/变时滞/非线性动力方程/Riccati变换Key words
Oscillation/Time scales/Variable delay/Nonlinear dynamic equation/Riccati transformation分类
数理科学引用本文复制引用
杨甲山,方彬..时间测度链上一类二阶非线性时滞阻尼动力方程的振动性分析[J].应用数学,2017,30(1):16-26,11.基金项目
国家青年科学基金(61503171),梧州学院2014年校级科研重大项目(2014A003),广西教育厅科研项目(2013YB223)和河南省基础与前沿技术研究计划项目(142300410434) (61503171)