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二阶非线性时滞微分方程的振动性 被引量:2

Oscillation of Second Order Nonlinear Delay Differential Equations
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摘要 研究了一类二阶非线性时滞微分方程的振动性.利用广义Riccati变换,积分平均技巧和不等式,建立此微分方程若干新的振动准则,所得结果推广且改进了最近一些文献中的某些振动结果. We study the oscillatory behavior of a certain class of second-order nonlinear delay differential equations.By using the generalized Riccati transformation,integral averaging technique and an inequality,we establish some new oscillation criteria for the equations above.The results extend and improve some related results in the cited literature.
作者 李文娟 李书海 LI Wen-juan;LI Shu-hai(Normal College,Chifeng University,Chifeng 024000,China)
出处 《数学的实践与认识》 北大核心 2020年第17期279-284,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(11761006,11762001,11561001) 内蒙古高校青年科技英才支持计划资助项目(NJYT-18-A14) 内蒙古自然科学基金(2017MS0113,2018MS01026) 内蒙古高等学校科研基金(NJZY17301)。
关键词 微分方程 时滞 振动性 RICCATI变换 differential equations delay oscillation Riccati transformation
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  • 10Liu L, Bai Y. New oscillation criteria for second order nonlinear delay neutral differential equations. J Comput Appl Math, 2009, 231:657--663.

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