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三阶非线性中立型泛函微分方程的振动性 被引量：7

On the Oscillation for Third-order Nonlinear Neutral Functional Differential Equations
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摘要 研究了一类三阶非线性中立型泛函微分方程的振动性.利用广义Riccati变换和积分平均技巧,建立了保证此方程一切解振动或者收敛到零的若干新的充分条件. The purpose of this paper is to study the oscillation of third-order nonlinear neutral functional differential equations. By using a generalized Riecati transformation and integral averaging technique,we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero.
作者 俞元洪
机构地区 中国科学院数学与系统科学研究院
出处 《滨州学院学报》 2010年第6期1-6,共6页 Journal of Binzhou University
关键词 三阶中立型方程 振动准则 Kamenev型 Philos型 third-order neutral equation oscillation criterion Kamenev type Philos type
分类号 O175 [理学—基础数学]
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参考文献2

二级参考文献26

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共引文献10

同被引文献42

  • 1林文贤.一类非线性偶数阶中立型方程的振动准则[J].工程数学学报,2005,22(1):159-162. 被引量：19
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  • 10Grace S R, Agarwal R P, Pavani R, et al. On the oscillation criteria for third order nonlinear functional differential equa- tions[J]. Appl Math Comput, 2008(202) :102-112.

引证文献7

二级引证文献11

滨州学院学报
2010年 第6期

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