三阶非线性中立型微分方程的振动分析被引量：5

OSCILLATION ANALYSIS OF THIRD ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS

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摘要研究三阶非线性中立型微分方程(r(t)((x(t)+p(t)x(τ(t)))″)α)′+q(t)f(x(σ(t))):0(E)的振动性,所考虑的方程具有非正则形式,即∫_(t_0)~∞(dt)/(r^(1/a)(t))<∞.我们建立了方程(E)的若干新的振动准则,并且给出了说明主要结果的一些例子. This paper is concerned with the oscillatory behavior of third order nonlinear neutral differential equations （r（t）（（x（t）＋p（t）x（t（t）））＂）a）＇＋q（t）f（x（σ（t）））=0 where studied equation is in a noncanonical form, i.e., ∫∞ to dt/ r 1/a （t）〈∞ Some newoscillation criteria for Equation （E） are established. Examples illustrating the main results are included.

作者罗李平俞元洪罗振国

机构地区衡阳师范学院数学与统计学院中国科学院数学与系统科学研究院

出处《系统科学与数学》 CSCD 北大核心 2016年第4期551-559,共9页 Journal of Systems Science and Mathematical Sciences

基金湖南省"十二五"重点建设学科项目(湘教发[2011]76号) 湖南省自然科学基金青年项目(13JJ4098) 湖南省自然科学基金面上项目(2016JJ2008)资助课题

关键词三阶中立型微分方程黎卡提方法振动准则非线性. Third order, neutral differential equation, Riccati method, oscillation criteria, nonlinear.

分类号 O175 [理学—基础数学]

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参考文献12

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