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带有极大值项的中立型差分方程非振动解的渐近性 被引量:1

The Asymptotic Behavior of Nonoscillatory Solutions of Neutral Difference Equations With "Maxima"
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摘要 研究了带有极大值项的一阶中立型差分方程Δ(xn+pnxn-k)+qnmaxs∈[n-l,n]rsxs=0,n∈N,得到了方程非振动解的渐近性的一些充分条件,拓广了相关的研究工作. This paper considers the first order neutral difference equation,Δ(xn+pnxn-k)+qnmaxs∈rsxs=0,n∈N.Sufficient conditions for asymptotic behavior of nonoscillatory solutions of the equation are obtained,related research work and results are extensioned.
出处 《南京师大学报(自然科学版)》 CAS CSCD 北大核心 2011年第2期15-17,22,共4页 Journal of Nanjing Normal University(Natural Science Edition)
基金 广西省教育厅科研项目(201012MS075)
关键词 中立型差分方程 极大值项 非振动解 渐近性 neutral difference equations maxima solution of nonoscillatory asymptoic
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  • 1[1]Bainov D, Petrov V, Proytcheva V. Oscillatory and Asymptotic Behavior of Second Order Neutral Differential Equations with "Maxima". Dynamic Systems and Applications, 1995, 4:137-146
  • 2[2]Bainov D, Petrov V, Proytcheva V. Existence and Asymptotic Behavior of Nonoscillatory Solutions of Second Order Neutreal Differential Equations with "Maxima". Journal of Computational and Applied Mathematics, 1997, 83:237-249
  • 3[3]Bainov D, Petrov V, Proytcheva V. Oscillation and Nonoscillation of First Order Neutral Differential Equations with "Maxima". SUT Journal of Mathematics, 1995, 31:17-28
  • 4[4]Petrov V. Nonoscillatory Solutions of Neutral Differential Equations with "Maxima". Communications in Applied Analysis, 1998, 2:129-142
  • 5BAINOV D,PETROV V,PROYTCHEVA V. Existence and asymptotic behavior of nonoscillatory solutions of second order neutral differential equations with " maxtma " [J]. Journal of Computational and Applied Mathematics, 1997,83:237-249.
  • 6PETROV V. Nonoscillatory solutions of neutral differential equations with "maxima"[J]. Communications in Applied Analysis, 1998,2 : 129-142.

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