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一类时间轴上的一阶中立型微分方程的正解 被引量:1

On Positive Solutions of a Class of First Order Neutral Differential Equations on Time Scales
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摘要 对时间轴上的具正负系数的一阶中立型动力方程(x(t)-c(t)x(t-τ))Δ+p(t)x(t-γ)-q(t)x(t-δ)=0进行了研究,这里c,p,q∈Crd([t0,∞),R+=[0,∞),γ>0,τ>δ≥0.获得了方程存在最终有界正解的一个充分条件. This paper is concerned with the first order neutral dynamic eguation with positive and negative coeffcient differential equations on time scale:(x(t)-c(t)x(t-τ))~Δ+p(t)x(t-γ)-q(t)x(t-δ)=0 where,P.q∈C(rd)(to,∞),R^+=nonoscillatory for the above equation is obtained.
作者 兰永红
机构地区 湘潭大学数学系
出处 《湖南工程学院学报(自然科学版)》 2004年第2期88-90,共3页 Journal of Hunan Institute of Engineering(Natural Science Edition)
基金 国家自然科学基金资助项目(A01010701 10371103) 湖南省自然科学基金资助项目(HNNSFOOJJY2001)
关键词 最终正解 动力方程 时间轴 eventually positive solution dynamic equations time scales
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参考文献5

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同被引文献5

  • 1M.Bohner,A.Peterson.Dynamic Equations on Time Scales[M].Birkhauser Boston,2001.
  • 2O.Dosly,S.Hilger.A necessary and sufficient condition for oscillation of the Sturm Liouville dynamic equations on time scales[J].Comp.and Appl.Math,2002,141.147-158.
  • 3L.Erbe,A.Peterson.Ricati equations on a measure chains[J].Dynamic systems and applications,2001.4:193-199.
  • 4J.S.Yu,B.G.Zhang,Z.C.Wang.Oscillation of delay difference equations[J].Applicable Analysis,1994,53.117-124.
  • 5H.B.Hsu,C.C.Yeh.OScillation theorem for second-order half-limear differential equations[J].Appl.Math.Lett.,1996,(9):71-77.

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