Oscillation for Third-Order Nonlinear Delay Dynamic Equations on Time Scales

Oscillation for Third-Order Nonlinear Delay Dynamic Equations on Time Scales
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DOI:
10.4028/www.scientific.net/amm.475-476.1578
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发表时间:
2013-12
期刊:
Applied Mechanics and Materials
影响因子:
--
通讯作者:
Shouhua Liu;Quanxin Zhang;Li Gao
Shouhua Liu;Quanxin Zhang;Li Gao
中科院分区:
其他
文献类型:
--
作者:
Shouhua Liu;Quanxin Zhang;Li Gao

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讨论了一类三阶非线性中立型时滞动力学方程在时间尺度上的振动问题。利用广义Riccati变换和不等式技巧,建立了保证每一个解都是振荡的或收敛于零的三个新的不同的充分条件。所得结果基本上是对先前结果的推广和改进。
The oscillation for certain third-order nonlinear neutral delay dynamic equations on time scales is discussed in this article. By using the generalized Riccati transformation and the inequality technique, three new different sufficient conditions which ensure that every solution is oscillatory or converges to zero are established. The results obtained essentially generalize and improve earlier ones.