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三阶半线性中立型分布时滞微分方程的振动性 被引量：19

Oscillation of Third-order Half Linear Neutral Differential Equations with Distributed Delay
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摘要 本文研究三阶半线性中立型分布时滞微分方程的振动性质.我们同时考虑了正则和非正则两种情况,利用广义Riccati变换和积分平均技巧,建立了在两种情况下保证方程的每一个解振动或者收敛到零的若干新的充分条件,所得定理推广和改进了最近文献中的若干结果. The objective of this paper is to study the oscillation of a certain of third-order half linear neutral differential equations with distributed delay, where the canonical case and noncanonical case are dealt with.By using a generalized Riccati Transformation and integral averaging technique, we establish some new sufficient conditions which ensure that every solution of this equation oscillates or converges to zero. The theorems obtained generalize and improve known results in the literature recently.
作者 仉志余 王晓霞 俞元洪
机构地区 太原工业学院理学系 中国科学院数学与系统科学研究院
出处 《应用数学学报》 CSCD 北大核心 2015年第3期450-459,共10页 Acta Mathematicae Applicatae Sinica
基金 山西省自然科学基金(No.2011011002-3)资助项目
关键词 三阶中立型方程 广义Riccati变换 半线性 弱振动准则 third-order neutral equation generalized Riccati transformation half linear weak oscillation criterion
分类号 O175 [理学—基础数学]
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参考文献13

  • 1Aktas M F, Tiryaki A, Zafer A. Oscillation criteria for third-order nonlinear functional differential equations. Appl. Math. Letters, 2010, 23(7): 756-762.
  • 2Baculikova B, Dzurina J. Oscillation of third-order neutral differential equations. Math. Comput. Modelling, 2010, 52(1-2): 215-222.
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二级参考文献58

  • 1潘元元,韩振来.时标上二阶中立型时滞动力方程的振动性[J].济南大学学报（自然科学版）,2012,26(2):191-194. 被引量：5
  • 2王宏洲,俞元洪.一阶中立型时滞微分方程的强迫振动[J].数学物理学报（A辑）,2007,27(1):90-96. 被引量：5
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  • 10Erbe L, Peterson A, Saker S H. Oscillation criteria for second-order nonlinear delay dynamic equations. J Math Anal Appl, 2007, 333:505-522.

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引证文献19

二级引证文献17

应用数学学报
2015年 第3期

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