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三阶非线性中立型泛函微分方程的振动性(英文) 被引量:3

Oscillations of a class of third order nonlinear neutral functional differential equations
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摘要 利用广义Riccati变换和积分平均技巧,研究一类三阶中立型泛函微分方程的振动性质,建立了保证此方程一切解振动或者收敛于零的若干新的充分条件,推广和改进了一些已有结果,并给出了应用实例. The oscillations of a class of third order nonlinear neutral functional differential equations was discussed, by using the generalized Riccati transformation and the integral averaging technique; and some new sufficient conditions for oscillations or tends to zero of all solutions of the equations were obtained. The example to illustrate the main results were given. The results extend and improve some known results.
作者 韩忠月
机构地区 德州学院数学系
出处 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第1期113-120,共8页 Journal of East China Normal University(Natural Science)
关键词 三阶中立型微分方程 振动准则 Kamenev型 Philos型 third order neutral differential equation oscillation criteria Kamenev type Philos type
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参考文献12

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