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一类二阶非线性中立时滞微分方程的区间振动性 被引量:1

Interval Oscillation Criteria for Second-Order Half-Iinear Neutral Delay Differential Equations
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摘要 本文主要研究二阶非线性中立时滞微分方程[(r(t)(x(t)+p(t)x(σ(t)))'a-1(x(t)+p(t)x(σ(t)))']'+q(t)f(x(τ(t)))g(x'(t))=0.得到方程的一些新的区间振动的结论.推广和改进了相关的结论. By using an inequality due to Hardy,Littlewood and Polya and averaging functions,new interval oscillation criteria are established,for half-linear neutral delay differential equations of the form [(r(t) | (x(t) +p(t)x(σ(t)))'|^a-1(x(t) +p(t)x(σ(t)))']' +q(t)f(x(τ(t)))g(x'(t)) =0. that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of MYM [t0,∞),rather than on the whole half-line.
作者 黄艳
机构地区 枣庄职业学院
出处 《首都师范大学学报(自然科学版)》 2014年第3期3-9,共7页 Journal of Capital Normal University:Natural Science Edition
关键词 区间振动性 二阶 非线性 中立 时滞 interval oscillation second order half-linear neutral delay
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