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二阶线性中立型有界时滞微分方程非振动解的存在性

EXISTENCE OF NONOSCILLATION SOLUTION OF SECOND ORDER LINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH BOUNDED DELAY
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摘要 研究一类二阶线性中立型有界时滞微分方程非振动解的存在性问题 ,建立非振动解存在的判定准则 . Some criteria have been established for the existence of nonoscillation solution of second order linear neutral differential equations with bounded delay d 2dt 2[x(t)+px(t-τ)]+∑ni=1[Q i(t)x(t-σ i(t))-R i(t)x(t-θ i(t))]=0, where t≥t 0,n≥1 is an integar,p≠ ±1 ,τ>0,Q i(t),R i(t),σ i(t),θ i(t)∈C([t 0,∞),R +),i=1,2,…,n.
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2000年第3期161-168,共8页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 内蒙古自然科学基金资助项目!(990 30 1- 2 )
关键词 中立型微分方程 有界时滞 非振动解 neutral differential equation bounded delay nonoscillation solution
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参考文献7

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